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


  • Ting-Hui Yang
  • Kaijen Cheng
  • Jin-Wei Yu




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.

Author Biography

Ting-Hui Yang

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


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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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