Bifurcation and global dynamics of a leslie-gower type competitive system of rational difference equations with quadratic terms

Authors

V. Hadžiabdić, University of Sarajevo
M. R.S. Kulenović, University of Rhode Island
E. Pilav, University of Sarajevo

Document Type

Article

Date of Original Version

1-1-2017

Abstract

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.

Publication Title, e.g., Journal

Abstract and Applied Analysis

Volume

2017

Citation/Publisher Attribution

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.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.