xt+1=xt+rxxt(1-xt/K)-axtyt/(1+hxt) , yt+1=yt+bxtyt/(1+hxt)-cyt

This model describes an interspecific predator-prey relationship. The base model of prey's growing is logistic growth model. This model has more reality than normal Lotka-Volterra model based on the exponential growth model.The prey(X)'s population is x, and the predator(Y)'s population is y.


rx : Intrinsic Rate of Natural Increace of Prey

a : The average number of eaten prey per one pedator

b : The average required number of eaten prey per one birth of pedator

c : The average death rate of pedator

h : Saturation speed of predators' eating speed

Kx : Carrying Capacity of Prey

x0 & y0 : Initial Population

Simulation Time