We investigate global dynamics of the following systems of difference equations , , , where the parameters , , , , , and are positive numbers and the initial conditions and 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.
V. Hadžiabdić. M. R. S. Kulenović. E. Pilav. "Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms." Abstr. Appl. Anal. 2017 1 - 19, 2017. https://doi.org/10.1155/2017/3104512