Bifurcation and global dynamics of a leslie-gower type competitive system of rational difference equations with quadratic terms
Date of Original Version
We investigate global dynamics of the following systems of difference equations xn+1 = xn/(A1 + B1xn + C1yn), yn+1+1 = yn2/(A2 + B2xn + C2ynP), n = 0, 1, ., where the parameters A1, A2, B1, B2, C1, and C2 are positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative numbers.This system is a version of the Leslie-Gower competition model for two species. We show that this system has rich dynamics which depends on the part of parametric space.
Abstract and Applied Analysis
Hadžiabdić, V., M. R. Kulenović, and E. Pilav. "Bifurcation and global dynamics of a leslie-gower type competitive system of rational difference equations with quadratic terms." Abstract and Applied Analysis 2017, (2017). doi:10.1155/2017/3104512.