Permanence and Asymptotically Periodic Solution for A Cyclic Predator-Prey Model With Sigmoidal Type Functional Response

نویسندگان

  • CHANGJIN XU
  • QIMING ZHANG
چکیده

This paper is concerned with a cyclic predator-prey system with Sigmoidal type functional response. By using the differential inequality theory, some sufficient conditions are derived for the permanence of the system. By constructing a suitable Liapunov function, we obtain that the system has a unique asymptotically periodic solution which is globally asymptotically stable. Some numerical simulations that illustrate our analytical predictions are carried out. The paper ends with a brief conclusion. Key–Words: Predator-prey system, Permanence, Sigmoidal type functional response, Asymptotically periodic solution, Liapunov function; Global stability

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تاریخ انتشار 2014