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2017 Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms
V. Hadžiabdić, M. R. S. Kulenović, E. Pilav
Abstr. Appl. Anal. 2017(none): 1-19 (2017). DOI: 10.1155/2017/3104512

Abstract

We investigate global dynamics of the following systems of difference equations xn+1=xn/A1+B1xn+C1yn, yn+1=yn2/A2+B2xn+C2yn2, 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.

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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

Information

Received: 1 April 2017; Accepted: 4 June 2017; Published: 2017
First available in Project Euclid: 19 September 2017

zbMATH: 06929547
MathSciNet: MR3686354
Digital Object Identifier: 10.1155/2017/3104512

Rights: Copyright © 2017 Hindawi

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