xt+1=xt+rxxt(1-(xt+ayt)/Kx) , yt+1=yt+ryyt(1-(bxt+yt)/Ky)

This model describes an interspecific competition. In this explanation, let assume that 2 species X & Y are in a competitive relation and the population of X is x, the population of Y is y. If one of these species is absent (x or y =0), this model is same to the logistic growth model. The value b represents the effect species X has on the population of species Y. When they are harmful to each other, the value a & b are positive number


rx & ry : Intrinsic Rate of Natural Increace

a & b : Strength of Competition

Kx & Ky : Carrying Capacity

x0 & y0 : Initial Population

Simulation Time