Title

Global stability of a quadratic anti-competitive system of rational difference equations in the plane with Allee effects

Document Type

Article

Date of Original Version

1-1-2018

Abstract

We investigate global dynamics of the following systems of difference equations (Formula presented) where the parameters a, b are positive numbers and initial conditions x0 and y0 are arbitrary nonnegative numbers. We find all possible dynamical scenario for this system. We show that this system has substantially different behavior than the corresponding linear fractional system.

Publication Title

Journal of Computational Analysis and Applications

Volume

25

Issue

6

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