Performance of initial value problem for various generalized Lotka-Volterra systems

[gajomi]

One of the goals of the LotkaVolterra.jl package is to deliver the overall best performance in solving trajectories for typical system of interest (for some value of 'overall' and 'typical'). Presently the pacakge uses a call to a general purpose ode solver for AbstractLotkaVolterra types. This could likely be specialized to take advantage of the structure of the LV equations to increase performance, as well as perhaps enforce positivity and other invariants. To assess potential improvements in performance it will be necessary to develop a test suite.