Acta mathematica scientia,Series B ›› 1991, Vol. 11 ›› Issue (2): 142-163.

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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.

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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