A predator-prey model with the nonlinear self interaction coupling xky

Abstract

A class of predator-prey models suggested by the continuous form of the following two dimensional map is studied Xn+1 = aX (n)(1 - X-n - Y-n) Yn+1 = aX Y-n(n) The continuous time form of this map generalizes the classical Lotka Volterra model by a quadratic self interaction term; an additional coupling of the form x(k)y in the prey equation is added.