数学物理学报(英文版) ›› 1991, Vol. 11 ›› Issue (2): 142-163.

• 论文 • 上一篇    下一篇

THE ANALYSIS OF HOPF BIFURCATION FOR THE PREY-PREDATOR SYSTEM WITH DIFFUSION AND DELAY

周笠1, 宋开泰2   

  1. 1. Dept. of Math., Huazhong Univ. of Sci. & Tech., Wuhan, China;
    2. Dept. of Math., Wuhan University, Wuhan, China
  • 收稿日期:1989-09-18 出版日期:1991-06-25 发布日期:1991-06-25
  • 基金资助:
    This work is supported by National Science Foundatiin.

THE ANALYSIS OF HOPF BIFURCATION FOR THE PREY-PREDATOR SYSTEM WITH DIFFUSION AND DELAY

Zhou Li1, Song Kaitai2   

  1. 1. Dept. of Math., Huazhong Univ. of Sci. & Tech., Wuhan, China;
    2. Dept. of Math., Wuhan University, Wuhan, China
  • Received:1989-09-18 Online:1991-06-25 Published:1991-06-25
  • Supported by:
    This work is supported by National Science Foundatiin.

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摘要： In this paper the influence of diffusion for stability of the prey-predator system with delay is studied. We analysed the conditions which raise the Hopf bifurcation. The problem is reduced by centralmanifold, and the approximation form of the stability periodic is obtained.

Abstract: In this paper the influence of diffusion for stability of the prey-predator system with delay is studied. We analysed the conditions which raise the Hopf bifurcation. The problem is reduced by centralmanifold, and the approximation form of the stability periodic is obtained.

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