Global Attracting Equilibria for Coupled Systems with Ceiling Density Dependence

Authors

Eric A. Eager, University of Wisconsin - La CrosseFollow
Mary Hebert, Texas Tech UniversityFollow
Elise Hellwig, University of California, DavisFollow
Francisco Hernandez, Illinois Institute of TechnologyFollow
Richard Rebarber, University of Nebraska - LincolnFollow
Brigitte Tenhumberg, University of Nebraska - LincolnFollow
Bryan Wigianto, Rice UniversityFollow

Document Type

Article

Date of this Version

2013

Citation

International Journal of Difference Equations, 2013, vol. 8, no. 2, pp. 179–193

Comments

Copyright 2013 International Journal of Difference Equations

Abstract

In this paper, we present a system of two difference equations modeling the dynamics of a coupled population with two patches. Each patch can house only a limited number of individuals (called a carrying capacity) because resources like food and breeding sites are limited in each patch. We assume that the population in each patch is governed by a linear model until reaching a carrying capacity in each patch, resulting in map which is nonlinear and not sublinear. We analyze the global attractors of this model.