Global behavior of two competitive rational systems of difference equations in the plane
Document Type
Article
Date of Original Version
12-25-2009
Abstract
We investigate the global dynamics of solutions of two distinct competitive rational systems of difference equations in the plane. We show that the basins of attraction of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or of non-hyperbolic equilibrium points. Our results give complete answer to Open Problem 1 posed recently in [3].
Publication Title, e.g., Journal
Communications on Applied Nonlinear Analysis
Volume
16
Issue
3
Citation/Publisher Attribution
Brett, A., M. R. Kulenović, M. Garić-Demirović, and M. Nurkanović. "Global behavior of two competitive rational systems of difference equations in the plane." Communications on Applied Nonlinear Analysis 16, 3 (2009): 1-18. https://digitalcommons.uri.edu/math_facpubs/179