Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms

V. Hadžiabdić, M. R. S. Kulenović and E. Pilav

Abstract and Applied Analysis, 2017, vol. 2017, 1-19

Abstract:

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:3104512

DOI: 10.1155/2017/3104512

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