华东师范大学学报(自然科学版) ›› 2007, Vol. 2007 ›› Issue (1): 27-35.

• 数学 • 上一篇    下一篇

脉冲非自治比率依赖型捕食者-食饵系统的周期性(英）

张伟鹏, 朱德明   

  1. 华东师范大学 数学系, 上海 200062
  • 收稿日期:2005-06-21 修回日期:2005-11-30 出版日期:2007-01-25 发布日期:2007-01-25
  • 通讯作者: 朱德明

Periodicity of a Nonautonomous Ratio-Dependent Predator-Prey Systems with Impulses(English)

ZHANG Wei-peng, ZHU De-ming   

  1. Department of Mathematics\,, East China Normal University, Shanghai 200062, China
  • Received:2005-06-21 Revised:2005-11-30 Online:2007-01-25 Published:2007-01-25
  • Contact: ZHU De-ming

摘要： 利用重合度理论中的连续性定理以及先验估计研究了一类具有脉冲的非自治比率依赖型捕食者-食饵系统正周期解的存在性，建立了存在正周期解的充分性判据.

关键词: 非自治, 比率依赖型, 正周期解, 脉冲, 重合度, 非自治, 比率依赖型, 正周期解, 脉冲, 重合度

Abstract: This paper explored the existence of periodic solutions with strictly positive components and impulses of a nonautonomous ratio-dependent predator-prey system. Sufficient criteria were obtained for the existence of strictly positive periodic solutions. The approach was based on a continuation theorem in the coincidence degree theory as well as some prior estimates.

Key words: ratio-dependent, positive periodic solution, impulse, coincidence degree, non-autonomous, ratio-dependent, positive periodic solution, impulse, coincidence degree

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