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Extinction in two species nonautonomous nonlinear competitive system

Author

Listed:
  • Chen, Fengde
  • Xie, Xiangdong
  • Miao, Zhanshuai
  • Pu, Liqiong

Abstract

A two species nonautonomous nonlinear competitive system is studied in this paper. It is shown that if the coefficients are continuous, bounded above and below by positive constants and satisfy certain inequalities, then one of the components will be driven to extinction while the other one will stabilize at the certain positive solution of a nonlinear single species model. Our result not only generalizing but also improving the result of Li and Chen (2006).

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:119-124
    DOI: 10.1016/j.amc.2015.10.068
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    Cited by:

    1. Meichun Huang & Yunong Zhang, 2024. "Zhang Neuro-PID Control for Generalized Bi-Variable Function Projective Synchronization of Nonautonomous Nonlinear Systems with Various Perturbations," Mathematics, MDPI, vol. 12(17), pages 1-25, August.
    2. 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.

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