Dynamics of the predator-prey models on the two-patch fragmented habitat with dispersal

Main Article Content

Ting-Hui Yang
Kaijen Cheng
Jin-Wei Yu

Abstract

In this work, we consider the population-dispersal dynamics for predator-prey interactions in a two-patch environment. On each fragmented patch, there is a two-species predator-prey ecological system. It is assumed that the predator species are mobile. The existence and local dynamics of boundary equilibria and interior equilibria with respect to parameters are completely classified. Moreover, global extinction results are established analytically. In particular, the phenomenon of over-exploitation is also found in these discrete patches models. Finally, some biological interpretations are discussed.

Article Details

How to Cite
Yang, T.-H., Cheng, K., & Yu, J.-W. (2016). Dynamics of the predator-prey models on the two-patch fragmented habitat with dispersal. Tamkang Journal of Mathematics, 47(1). https://doi.org/10.5556/j.tkjm.47.2016.1984
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Special Issue
Author Biography

Ting-Hui Yang

Department ofMathematics, Tamkang University, Tamsui, New Taipei City 25137, Taiwan.

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