Analysis of a Coupled n-Patch Population Model with Ceiling Density Dependence

Authors

Jason Callahan, St. Edward's UniversityFollow
Richard Rebarber, University of Nebraska-LincolnFollow
Eva Strawbridge, James Madison UniversityFollow
Brigitte Tenhumberg, University of Nebraska-LincolnFollow
Shenglan Yuan, LaGuardia Community College, CUNYFollow

Date of this Version

2015

Citation

International Journal of Difference Equations 10:2 (2015), pp. 137–159.

Comments

Copyright © 2015 Jason Callahan, Richard Rebarber, Eva Strawbridge, Brigitte Tenhumberg, and Shenglan Yuan. Published by Research India Publications. Open access.

https://campus.mst.edu/ijde/index_files/ijde102.htm

Abstract

We consider a system of difference equations with ceiling density dependence to model the dynamics of a coupled population on an arbitrary, finite number of distinct patches where migration between all patches is possible. In this model, each patch possesses a separate carrying capacity, and the dynamics of the coupled population is governed by a linear model until the population of a patch reaches its capacity, after which it remains at this maximum value. Further, we analyze the global attractors of this model and apply these results to an Arabian oryx metapopulation model with some patches protected and others unprotected from poaching.