Dynamics of certain anti-competitive systems of rational difference equations in the plane
Document Type
Article
Date of Original Version
11-1-2011
Abstract
We consider two systems of rational difference equations in the plane: where the parameters α 1, α 2, β 2, γ 1 are positive numbers and initial conditions x 0 and y 0 are positive numbers. For the first system we obtain the global dynamics, whereas for the second system we obtain substantial global results for all values of parameters. Global dynamics of two systems is substantially different to the contrary of their similarities. © 2011 Copyright Taylor and Francis Group, LLC.
Publication Title, e.g., Journal
Journal of Difference Equations and Applications
Volume
17
Issue
11
Citation/Publisher Attribution
Kalabušić, S., and M. R. Kulenović. "Dynamics of certain anti-competitive systems of rational difference equations in the plane." Journal of Difference Equations and Applications 17, 11 (2011): 1599-1615. doi: 10.1080/10236191003730506.