A Competition-diffusion System with a Refuge

نویسندگان

  • Daozhou Gao
  • Xing Liang
  • Gail Wolkowicz
  • XING LIANG
چکیده

In this paper, a model composed of two Lotka-Volterra patches is considered. The system consists of two competing species X, Y and only species Y can diffuse between patches. It is proved that the system has at most two positive equilibria and then that permanence implies global stability. Furthermore, to answer the question whether the refuge is effective to protect Y , the properties of positive equilibria and the dynamics of the system are studied when X is a much stronger competitor.

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تاریخ انتشار 2007