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Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates

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  • Liang Zhao
  • Bin Qin
  • Xianbo Sun

Abstract

In this paper, we propose and analyze a commensalism model with nonmonotonic functional response and density-dependent birth rates. The model can have at most four nonnegative equilibria. By applying the differential inequality theory, we show that each equilibrium can be globally attractive under suitable conditions. However, commensalism can be established only when resources for both species are large enough.

Suggested Citation

  • Liang Zhao & Bin Qin & Xianbo Sun, 2018. "Dynamic Behavior of a Commensalism Model with Nonmonotonic Functional Response and Density-Dependent Birth Rates," Complexity, Hindawi, vol. 2018, pages 1-6, December.
    • Handle: RePEc:hin:complx:9862584
    DOI: 10.1155/2018/9862584
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    References listed on IDEAS

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    1. Chen, Fengde & Xie, Xiangdong & Miao, Zhanshuai & Pu, Liqiong, 2016. "Extinction in two species nonautonomous nonlinear competitive system," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 119-124.
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