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Extinction in Two-Species Nonlinear Discrete Competitive System

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

Abstract

We propose a nonlinear discrete system of two species with the effect of toxic substances. By constructing a suitable Lyapunov-type function, we obtain the sufficient conditions which guarantee that one of the components will be driven to extinction while the other will be globally attractive with any positive solution of a discrete equation. Two examples together with their numerical simulations illustrate the feasibility of our main results. The results not only improve but also complement some known results.

Suggested Citation

  • Liqiong Pu & Xiangdong Xie & Fengde Chen & Zhanshuai Miao, 2016. "Extinction in Two-Species Nonlinear Discrete Competitive System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-10, April.
    • Handle: RePEc:hin:jnddns:2806405
    DOI: 10.1155/2016/2806405
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