LotkaVolterra Layer Example

lv.jl

using DifferentialEquations, Flux, Optim, DiffEqFlux, Plots

u0 = [1.0,1.0]
tstart=0.0
tend=10.0
sampling=0.1

model_params= [1.5,1.0,3.0,1.0]

function model(du,u,p,t)
  x, y = u
  α, β, δ, γ = p
  du[1] = dx = α*x - β*x*y
  du[2] = dy = -δ*y + γ*x*y
end