figure3.ipynb

{
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "Python 3.6.9 64-bit",
   "display_name": "Python 3.6.9 64-bit",
   "metadata": {
    "interpreter": {
     "hash": "31f2aee4e71d21fbe5cf8b01ff0e069b9275f58929596ceb00d14d90e3e16cd6"
    }
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2,
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"258.69625pt\" version=\"1.1\" viewBox=\"0 0 391.828125 258.69625\" width=\"391.828125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 258.69625 \nL 391.828125 258.69625 \nL 391.828125 0 \nL 0 0 \nz\n\" style=\"fill:#ffffff;\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 49.828125 224.64 \nL 384.628125 224.64 \nL 384.628125 7.2 \nL 49.828125 7.2 \nz\n\" style=\"fill:#dddddd;\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 65.046307 224.64 \nL 65.046307 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_2\"/>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <defs>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g transform=\"translate(61.865057 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 125.919034 224.64 \nL 125.919034 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_4\"/>\n     <g id=\"text_2\">\n      <!-- 20 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g transform=\"translate(119.556534 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 186.791761 224.64 \nL 186.791761 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_6\"/>\n     <g id=\"text_3\">\n      <!-- 40 -->\n      <defs>\n       <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n      </defs>\n      <g transform=\"translate(180.429261 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 247.664489 224.64 \nL 247.664489 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_8\"/>\n     <g id=\"text_4\">\n      <!-- 60 -->\n      <defs>\n       <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n      </defs>\n      <g transform=\"translate(241.301989 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 308.537216 224.64 \nL 308.537216 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_10\"/>\n     <g id=\"text_5\">\n      <!-- 80 -->\n      <defs>\n       <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n      </defs>\n      <g transform=\"translate(302.174716 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 369.409943 224.64 \nL 369.409943 7.2 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_12\"/>\n     <g id=\"text_6\">\n      <!-- 100 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g transform=\"translate(359.866193 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- t (days) -->\n     <defs>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 32.171875 -5.078125 \nQ 28.375 -14.84375 24.75 -17.8125 \nQ 21.140625 -20.796875 15.09375 -20.796875 \nL 7.90625 -20.796875 \nL 7.90625 -13.28125 \nL 13.1875 -13.28125 \nQ 16.890625 -13.28125 18.9375 -11.515625 \nQ 21 -9.765625 23.484375 -3.21875 \nL 25.09375 0.875 \nL 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 11.921875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nz\n\" id=\"DejaVuSans-121\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n     </defs>\n     <g transform=\"translate(197.975 249.416562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"70.996094\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"110.009766\" xlink:href=\"#DejaVuSans-100\"/>\n      <use x=\"173.486328\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"234.765625\" xlink:href=\"#DejaVuSans-121\"/>\n      <use x=\"293.945312\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"346.044922\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 49.828125 214.756364 \nL 384.628125 214.756364 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_14\"/>\n     <g id=\"text_8\">\n      <!-- 0 -->\n      <g transform=\"translate(39.965625 218.555582)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 49.828125 176.110669 \nL 384.628125 176.110669 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_16\"/>\n     <g id=\"text_9\">\n      <!-- 200 -->\n      <g transform=\"translate(27.240625 179.909888)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 49.828125 137.464975 \nL 384.628125 137.464975 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_18\"/>\n     <g id=\"text_10\">\n      <!-- 400 -->\n      <g transform=\"translate(27.240625 141.264193)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-52\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 49.828125 98.81928 \nL 384.628125 98.81928 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_20\"/>\n     <g id=\"text_11\">\n      <!-- 600 -->\n      <g transform=\"translate(27.240625 102.618499)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-54\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 49.828125 60.173586 \nL 384.628125 60.173586 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_22\"/>\n     <g id=\"text_12\">\n      <!-- 800 -->\n      <g transform=\"translate(27.240625 63.972804)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-56\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#p2020a737cc)\" d=\"M 49.828125 21.527891 \nL 384.628125 21.527891 \n\" style=\"fill:none;stroke:#ffffff;stroke-linecap:square;stroke-width:2;\"/>\n     </g>\n     <g id=\"line2d_24\"/>\n     <g id=\"text_13\">\n      <!-- 1000 -->\n      <g transform=\"translate(20.878125 25.32711)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"190.869141\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- f(t) -->\n     <defs>\n      <path d=\"M 37.109375 75.984375 \nL 37.109375 68.5 \nL 28.515625 68.5 \nQ 23.6875 68.5 21.796875 66.546875 \nQ 19.921875 64.59375 19.921875 59.515625 \nL 19.921875 54.6875 \nL 34.71875 54.6875 \nL 34.71875 47.703125 \nL 19.921875 47.703125 \nL 19.921875 0 \nL 10.890625 0 \nL 10.890625 47.703125 \nL 2.296875 47.703125 \nL 2.296875 54.6875 \nL 10.890625 54.6875 \nL 10.890625 58.5 \nQ 10.890625 67.625 15.140625 71.796875 \nQ 19.390625 75.984375 28.609375 75.984375 \nz\n\" id=\"DejaVuSans-102\"/>\n     </defs>\n     <g transform=\"translate(14.798438 123.541875)rotate(-90)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-102\"/>\n      <use x=\"35.205078\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"74.21875\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"113.427734\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_25\">\n    <path clip-path=\"url(#p2020a737cc)\" d=\"M 65.046307 17.083636 \nL 68.120687 17.418702 \nL 71.195067 18.290225 \nL 74.269447 20.534185 \nL 77.343827 26.163857 \nL 80.418208 39.414672 \nL 83.492588 66.425821 \nL 86.566968 108.350674 \nL 89.641348 152.345611 \nL 92.715728 183.420708 \nL 95.790108 200.089559 \nL 98.864489 207.934574 \nL 101.938869 211.499749 \nL 105.013249 213.139796 \nL 108.087629 213.91868 \nL 111.162009 214.30323 \nL 114.236389 214.500895 \nL 117.31077 214.606584 \nL 120.38515 214.66526 \nL 123.45953 214.699011 \nL 126.53391 214.719082 \nL 129.60829 214.731393 \nL 132.68267 214.739166 \nL 135.757051 214.744209 \nL 138.831431 214.747563 \nL 141.905811 214.749847 \nL 144.980191 214.751436 \nL 148.054571 214.752564 \nL 151.128951 214.753381 \nL 154.203332 214.753982 \nL 157.277712 214.754432 \nL 160.352092 214.754774 \nL 163.426472 214.755038 \nL 166.500852 214.755244 \nL 169.575232 214.755406 \nL 172.649613 214.755536 \nL 175.723993 214.755641 \nL 178.798373 214.755727 \nL 181.872753 214.755798 \nL 184.947133 214.755857 \nL 188.021513 214.755906 \nL 191.095894 214.755947 \nL 194.170274 214.755982 \nL 197.244654 214.756012 \nL 200.319034 214.756038 \nL 203.393414 214.75606 \nL 206.467794 214.75608 \nL 209.542175 214.756097 \nL 212.616555 214.756111 \nL 215.690935 214.756125 \nL 218.765315 214.756136 \nL 221.839695 214.756146 \nL 224.914075 214.756155 \nL 227.988456 214.756164 \nL 231.062836 214.756171 \nL 234.137216 214.756177 \nL 237.211596 214.756183 \nL 240.285976 214.756189 \nL 243.360356 214.756193 \nL 246.434737 214.756198 \nL 249.509117 214.756202 \nL 252.583497 214.756205 \nL 255.657877 214.756208 \nL 258.732257 214.756211 \nL 261.806637 214.756214 \nL 264.881018 214.756217 \nL 267.955398 214.756219 \nL 271.029778 214.756221 \nL 274.104158 214.756223 \nL 277.178538 214.756225 \nL 280.252918 214.756226 \nL 283.327299 214.756228 \nL 286.401679 214.756229 \nL 289.476059 214.75623 \nL 292.550439 214.756232 \nL 295.624819 214.756233 \nL 298.699199 214.756234 \nL 301.77358 214.756235 \nL 304.84796 214.756235 \nL 307.92234 214.756236 \nL 310.99672 214.756237 \nL 314.0711 214.756238 \nL 317.14548 214.756238 \nL 320.219861 214.756239 \nL 323.294241 214.756239 \nL 326.368621 214.75624 \nL 329.443001 214.75624 \nL 332.517381 214.756241 \nL 335.591761 214.756241 \nL 338.666142 214.756241 \nL 341.740522 214.756242 \nL 344.814902 214.756242 \nL 347.889282 214.756242 \nL 350.963662 214.756243 \nL 354.038042 214.756243 \nL 357.112423 214.756243 \nL 360.186803 214.756243 \nL 363.261183 214.756244 \nL 366.335563 214.756244 \nL 369.409943 214.756244 \n\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_26\">\n    <path clip-path=\"url(#p2020a737cc)\" d=\"M 65.046307 214.563135 \nL 68.120687 214.251485 \nL 71.195067 213.441052 \nL 74.269447 211.355641 \nL 77.343827 206.131943 \nL 80.418208 193.886634 \nL 83.492588 169.184475 \nL 86.566968 131.844439 \nL 89.641348 95.213183 \nL 92.715728 73.647425 \nL 95.790108 67.456662 \nL 98.864489 70.176619 \nL 101.938869 76.817133 \nL 105.013249 84.843796 \nL 108.087629 93.138639 \nL 111.162009 101.234803 \nL 114.236389 108.946926 \nL 117.31077 116.21059 \nL 120.38515 123.013821 \nL 123.45953 129.367445 \nL 126.53391 135.291955 \nL 129.60829 140.811529 \nL 132.68267 145.951256 \nL 135.757051 150.73584 \nL 138.831431 155.189 \nL 141.905811 159.333211 \nL 144.980191 163.189617 \nL 148.054571 166.778026 \nL 151.128951 170.116952 \nL 154.203332 173.223666 \nL 157.277712 176.114271 \nL 160.352092 178.803769 \nL 163.426472 181.30613 \nL 166.500852 183.63436 \nL 169.575232 185.800567 \nL 172.649613 187.816018 \nL 175.723993 189.6912 \nL 178.798373 191.435872 \nL 181.872753 193.059114 \nL 184.947133 194.569376 \nL 188.021513 195.974519 \nL 191.095894 197.28186 \nL 194.170274 198.498204 \nL 197.244654 199.629885 \nL 200.319034 200.682796 \nL 203.393414 201.662417 \nL 206.467794 202.573852 \nL 209.542175 203.421845 \nL 212.616555 204.210812 \nL 215.690935 204.944862 \nL 218.765315 205.627817 \nL 221.839695 206.263234 \nL 224.914075 206.854421 \nL 227.988456 207.404458 \nL 231.062836 207.916208 \nL 234.137216 208.392336 \nL 237.211596 208.835322 \nL 240.285976 209.247473 \nL 243.360356 209.630936 \nL 246.434737 209.987706 \nL 249.509117 210.319642 \nL 252.583497 210.628474 \nL 255.657877 210.915808 \nL 258.732257 211.183141 \nL 261.806637 211.431866 \nL 264.881018 211.663278 \nL 267.955398 211.878581 \nL 271.029778 212.078898 \nL 274.104158 212.265271 \nL 277.178538 212.438671 \nL 280.252918 212.600001 \nL 283.327299 212.750102 \nL 286.401679 212.889754 \nL 289.476059 213.019685 \nL 292.550439 213.140572 \nL 295.624819 213.253044 \nL 298.699199 213.357687 \nL 301.77358 213.455046 \nL 304.84796 213.545629 \nL 307.92234 213.629906 \nL 310.99672 213.708316 \nL 314.0711 213.781269 \nL 317.14548 213.849143 \nL 320.219861 213.912293 \nL 323.294241 213.971047 \nL 326.368621 214.025712 \nL 329.443001 214.076571 \nL 332.517381 214.12389 \nL 335.591761 214.167916 \nL 338.666142 214.208876 \nL 341.740522 214.246986 \nL 344.814902 214.282443 \nL 347.889282 214.315431 \nL 350.963662 214.346124 \nL 354.038042 214.37468 \nL 357.112423 214.401248 \nL 360.186803 214.425967 \nL 363.261183 214.448965 \nL 366.335563 214.470363 \nL 369.409943 214.490271 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n   </g>\n   <g id=\"line2d_27\">\n    <path clip-path=\"url(#p2020a737cc)\" d=\"M 65.046307 214.756364 \nL 68.120687 214.732949 \nL 71.195067 214.671858 \nL 74.269447 214.51331 \nL 77.343827 214.107335 \nL 80.418208 213.101829 \nL 83.492588 210.792839 \nL 86.566968 206.208022 \nL 89.641348 198.844341 \nL 92.715728 189.335003 \nL 95.790108 178.856915 \nL 98.864489 168.291942 \nL 101.938869 158.086253 \nL 105.013249 148.419543 \nL 108.087629 139.345817 \nL 111.162009 130.865102 \nL 114.236389 122.955314 \nL 117.31077 115.585961 \nL 120.38515 108.724054 \nL 123.45953 102.336678 \nL 126.53391 96.392098 \nL 129.60829 90.860214 \nL 132.68267 85.712713 \nL 135.757051 80.923086 \nL 138.831431 76.466572 \nL 141.905811 72.320078 \nL 144.980191 68.462083 \nL 148.054571 64.872545 \nL 151.128951 61.532803 \nL 154.203332 58.425487 \nL 157.277712 55.534432 \nL 160.352092 52.844592 \nL 163.426472 50.341967 \nL 166.500852 48.013531 \nL 169.575232 45.847162 \nL 172.649613 43.831581 \nL 175.723993 41.956293 \nL 178.798373 40.211536 \nL 181.872753 38.588223 \nL 184.947133 37.077903 \nL 188.021513 35.67271 \nL 191.095894 34.365328 \nL 194.170274 33.148949 \nL 197.244654 32.017238 \nL 200.319034 30.964302 \nL 203.393414 29.984657 \nL 206.467794 29.073204 \nL 209.542175 28.225194 \nL 212.616555 27.436212 \nL 215.690935 26.702149 \nL 218.765315 26.019182 \nL 221.839695 25.383755 \nL 224.914075 24.792559 \nL 227.988456 24.242514 \nL 231.062836 23.730757 \nL 234.137216 23.254622 \nL 237.211596 22.81163 \nL 240.285976 22.399473 \nL 243.360356 22.016006 \nL 246.434737 21.659232 \nL 249.509117 21.327291 \nL 252.583497 21.018456 \nL 255.657877 20.731119 \nL 258.732257 20.463783 \nL 261.806637 20.215055 \nL 264.881018 19.983641 \nL 267.955398 19.768335 \nL 271.029778 19.568016 \nL 274.104158 19.381641 \nL 277.178538 19.208239 \nL 280.252918 19.046907 \nL 283.327299 18.896806 \nL 286.401679 18.757152 \nL 289.476059 18.62722 \nL 292.550439 18.506332 \nL 295.624819 18.393859 \nL 298.699199 18.289214 \nL 301.77358 18.191854 \nL 304.84796 18.101271 \nL 307.92234 18.016993 \nL 310.99672 17.938582 \nL 314.0711 17.865629 \nL 317.14548 17.797754 \nL 320.219861 17.734603 \nL 323.294241 17.675848 \nL 326.368621 17.621184 \nL 329.443001 17.570324 \nL 332.517381 17.523004 \nL 335.591761 17.478979 \nL 338.666142 17.438017 \nL 341.740522 17.399908 \nL 344.814902 17.36445 \nL 347.889282 17.331461 \nL 350.963662 17.300769 \nL 354.038042 17.272212 \nL 357.112423 17.245644 \nL 360.186803 17.220925 \nL 363.261183 17.197926 \nL 366.335563 17.176529 \nL 369.409943 17.15662 \n\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_3\">\n     <path d=\"M 279.66875 139.437187 \nL 377.628125 139.437187 \nQ 379.628125 139.437187 379.628125 137.437187 \nL 379.628125 94.402812 \nQ 379.628125 92.402812 377.628125 92.402812 \nL 279.66875 92.402812 \nQ 277.66875 92.402812 277.66875 94.402812 \nL 277.66875 137.437187 \nQ 277.66875 139.437187 279.66875 139.437187 \nz\n\" style=\"fill:#ffffff;opacity:0.5;stroke:#cccccc;stroke-linejoin:miter;\"/>\n    </g>\n    <g id=\"line2d_28\">\n     <path d=\"M 281.66875 100.50125 \nL 301.66875 100.50125 \n\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_29\"/>\n    <g id=\"text_15\">\n     <!-- Species 1 (S) -->\n     <defs>\n      <path d=\"M 53.515625 70.515625 \nL 53.515625 60.890625 \nQ 47.90625 63.578125 42.921875 64.890625 \nQ 37.9375 66.21875 33.296875 66.21875 \nQ 25.25 66.21875 20.875 63.09375 \nQ 16.5 59.96875 16.5 54.203125 \nQ 16.5 49.359375 19.40625 46.890625 \nQ 22.3125 44.4375 30.421875 42.921875 \nL 36.375 41.703125 \nQ 47.40625 39.59375 52.65625 34.296875 \nQ 57.90625 29 57.90625 20.125 \nQ 57.90625 9.515625 50.796875 4.046875 \nQ 43.703125 -1.421875 29.984375 -1.421875 \nQ 24.8125 -1.421875 18.96875 -0.25 \nQ 13.140625 0.921875 6.890625 3.21875 \nL 6.890625 13.375 \nQ 12.890625 10.015625 18.65625 8.296875 \nQ 24.421875 6.59375 29.984375 6.59375 \nQ 38.421875 6.59375 43.015625 9.90625 \nQ 47.609375 13.234375 47.609375 19.390625 \nQ 47.609375 24.75 44.3125 27.78125 \nQ 41.015625 30.8125 33.5 32.328125 \nL 27.484375 33.5 \nQ 16.453125 35.6875 11.515625 40.375 \nQ 6.59375 45.0625 6.59375 53.421875 \nQ 6.59375 63.09375 13.40625 68.65625 \nQ 20.21875 74.21875 32.171875 74.21875 \nQ 37.3125 74.21875 42.625 73.28125 \nQ 47.953125 72.359375 53.515625 70.515625 \nz\n\" id=\"DejaVuSans-83\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n     </defs>\n     <g transform=\"translate(309.66875 104.00125)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"126.953125\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"188.476562\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"243.457031\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"271.240234\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"332.763672\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"384.863281\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"416.650391\" xlink:href=\"#DejaVuSans-49\"/>\n      <use x=\"480.273438\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"512.060547\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"551.074219\" xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"614.550781\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_30\">\n     <path d=\"M 281.66875 115.179375 \nL 301.66875 115.179375 \n\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_31\"/>\n    <g id=\"text_16\">\n     <!-- Species 2 (I) -->\n     <defs>\n      <path d=\"M 9.8125 72.90625 \nL 19.671875 72.90625 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-73\"/>\n     </defs>\n     <g transform=\"translate(309.66875 118.679375)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"126.953125\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"188.476562\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"243.457031\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"271.240234\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"332.763672\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"384.863281\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"416.650391\" xlink:href=\"#DejaVuSans-50\"/>\n      <use x=\"480.273438\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"512.060547\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"551.074219\" xlink:href=\"#DejaVuSans-73\"/>\n      <use x=\"580.566406\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n    <g id=\"line2d_32\">\n     <path d=\"M 281.66875 129.8575 \nL 301.66875 129.8575 \n\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_33\"/>\n    <g id=\"text_17\">\n     <!-- Species 3 (R) -->\n     <defs>\n      <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n      <path d=\"M 44.390625 34.1875 \nQ 47.5625 33.109375 50.5625 29.59375 \nQ 53.5625 26.078125 56.59375 19.921875 \nL 66.609375 0 \nL 56 0 \nL 46.6875 18.703125 \nQ 43.0625 26.03125 39.671875 28.421875 \nQ 36.28125 30.8125 30.421875 30.8125 \nL 19.671875 30.8125 \nL 19.671875 0 \nL 9.8125 0 \nL 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.578125 72.90625 50.734375 67.671875 \nQ 56.890625 62.453125 56.890625 51.90625 \nQ 56.890625 45.015625 53.6875 40.46875 \nQ 50.484375 35.9375 44.390625 34.1875 \nz\nM 19.671875 64.796875 \nL 19.671875 38.921875 \nL 32.078125 38.921875 \nQ 39.203125 38.921875 42.84375 42.21875 \nQ 46.484375 45.515625 46.484375 51.90625 \nQ 46.484375 58.296875 42.84375 61.546875 \nQ 39.203125 64.796875 32.078125 64.796875 \nz\n\" id=\"DejaVuSans-82\"/>\n     </defs>\n     <g transform=\"translate(309.66875 133.3575)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-83\"/>\n      <use x=\"63.476562\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"126.953125\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"188.476562\" xlink:href=\"#DejaVuSans-99\"/>\n      <use x=\"243.457031\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"271.240234\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"332.763672\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"384.863281\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"416.650391\" xlink:href=\"#DejaVuSans-51\"/>\n      <use x=\"480.273438\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"512.060547\" xlink:href=\"#DejaVuSans-40\"/>\n      <use x=\"551.074219\" xlink:href=\"#DejaVuSans-82\"/>\n      <use x=\"620.556641\" xlink:href=\"#DejaVuSans-41\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p2020a737cc\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"49.828125\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
      "image/png": "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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.integrate import odeint\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Initial number of infected and recovered individuals, I0 and R0.\n",
    "import numpy as np\n",
    "from scipy.integrate import odeint\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Total population, N.\n",
    "n = 2 ** 10\n",
    "y01, y02 = n - 1, 1\n",
    "# Everyone else, S0, is susceptible to infection initially.\n",
    "y03 = 0\n",
    "# A grid of time points (in days)\n",
    "t = np.linspace(0, 100, 100)\n",
    "\n",
    "def F(i, N):\n",
    "    d = 0\n",
    "    beta, gamma = 0.001, 1./14 \n",
    "    for j in range(0, 3):\n",
    "        F = [[0, -beta * N[i] * N[j], 0], [beta * N[i] * N[j], -1 * gamma * N[i], 0], [0, gamma * N[j], 0]]\n",
    "        d += F[i][j]\n",
    "    return d\n",
    "# The SIR model differential equations.\n",
    "def deriv(y, t):\n",
    "    N = y\n",
    "    d1dt = F(0, N)\n",
    "    d2dt = F(1, N)\n",
    "    d3dt = F(2, N)\n",
    "    return d1dt, d2dt, d3dt\n",
    "\n",
    "# Initial conditions vector\n",
    "y0 = y01, y02, y03\n",
    "# Integrate the SIR equations over the time grid, t.\n",
    "\n",
    "ret = odeint(deriv, y0, t)\n",
    "S, I, R = ret.T\n",
    "\n",
    "# Plot the data on three separate curves for S(t), I(t) and R(t)\n",
    "fig = plt.figure(facecolor='w')\n",
    "ax = fig.add_subplot(111, facecolor='#dddddd', axisbelow=True)\n",
    "ax.plot(t, S, 'b', alpha=0.5, lw=2, label='Species 1 (S)')\n",
    "ax.plot(t, I, 'r', alpha=0.5, lw=2, label='Species 2 (I)')\n",
    "ax.plot(t, R, 'g', alpha=0.5, lw=2, label='Species 3 (R)')\n",
    "ax.set_xlabel('t (days)')\n",
    "ax.set_ylabel('f(t)')\n",
    "ax.yaxis.set_tick_params(length=0)\n",
    "ax.xaxis.set_tick_params(length=0)\n",
    "ax.grid(b=True, which='major', c='w', lw=2, ls='-')\n",
    "legend = ax.legend()\n",
    "legend.get_frame().set_alpha(0.5)\n",
    "for spine in ('top', 'right', 'bottom', 'left'):\n",
    "    ax.spines[spine].set_visible(False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}