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应用科学学报

• 论文 • 上一篇    

一类脉冲捕食系统的周期解的存在性

姚志健   

  1. 安徽建筑工业学院 数理系，安徽 合肥 230022
  • 收稿日期:2007-03-30 修回日期:2007-06-12 出版日期:2007-11-30 发布日期:2007-11-30

Existence of Periodic Solution of Predator-Prey System with Impulsive Effects

YAO Zhi-jian   

  1. Department of Mathematical and Physics, Anhui Institute of Architecture and Industry, Hefei 230022, China
  • Received:2007-03-30 Revised:2007-06-12 Online:2007-11-30 Published:2007-11-30

摘要： 由于脉冲现象在自然界中广泛存在，在建立生态模型时引入脉冲效应能更真实、更准确地描述种群的变化规律。该文研究具有脉冲和Beddington-DeAngelis功能反应的捕食系统，运用重合度理论研究其周期解的存在性，得到了周期解存在的充分条件。

关键词: Beddington-DeAngelis功能反应, 脉冲, 捕食系统, 周期解, 重合度

Abstract: As impulsive phenomena extensively exist in the nature, introduction of impulsive effect into an ecology model can lead to more accurate and reasonable description of the species and the ecological systems. This paper studies a predator-prey system with impulsive effects and Beddington-DeAngelis functional response. We investigate the existence of a periodic solution by using the theory of coincidence degree. Sufficient conditions for the existence of periodic solution are obtained.

Key words: Beddington-DeAngelis functional response, impulsive effect, predator-prey system, periodic solution, degree of coincidence