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Global Stability for a Three-Species Food Chain Model in a Patchy Environment

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  • Hongli Li
  • Yaolin Jiang
  • Long Zhang
  • Zhidong Teng

Abstract

We investigate a three-species food chain model in a patchy environment where prey species, mid-level predator species, and top predator species can disperse among different patches . By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive equilibrium of this model is unique and globally asymptotically stable if it exists.

Suggested Citation

  • Hongli Li & Yaolin Jiang & Long Zhang & Zhidong Teng, 2014. "Global Stability for a Three-Species Food Chain Model in a Patchy Environment," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-5, August.
    • Handle: RePEc:hin:jnljam:314729
    DOI: 10.1155/2014/314729
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