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离散Leslie捕食与被捕食系统周期解的稳定性 被引量:8

Stability of Periodic Solution for a Discrete Leslie Predator-prey System
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摘要 该文讨论了一类离散Leslie捕食与被捕食系统,获得了该系统的持久性,当系统为周期系统时,得到了它的周期解的存在性,并且在某些条件下,该周期解是全局稳定的. The paper discusses a class of discrete Leslie predator-prey system. The authors obtain the persistence of the system, assuming that the coefficients in the system are periodic and the existence of a periodic solution. Under some additional conditions, the periodic solution is globally stable.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2006年第4期634-640,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(10171106)资助
关键词 Leslie捕食与被捕食系统 持久性 周期解 全局稳定性 Leslie predator-prey system Persistence Periodic solution Globally stable.
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参考文献5

  • 1Leslie P H. Some funther notes on the use of matrices in population mathematics. Biometriha, 1948,35(1): 213-245
  • 2Leslie P H, Gower J C. The properties of a stochastic model for the predator-prey type of interaction between two species. Biometriha, 1960, 47(1): 219-234
  • 3Hsu S B, Huang T W. Global stability for a class of predator-prey system. SIAM J Appl Math, 1995,55(3): 763-783
  • 4Zhow Z, Zou X F. Stable periodic solutions in a discrete periodic legistic equation. Appl Math Lett, 2003, 16(2): 165-171
  • 5Wang Q, Fan M, Wang K. Dynamics of a class of nonautonomous semi-ratio-dependent predator-prey system with functional respomses. Math Anal Appl, 2003, 278(2): 443-471

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