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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (10): 999-1003.

• 论文 • 上一篇    下一篇

GLOBAL STRUCTURE OF A KIND OF PREDATOR-PREY SYSTEM

丁孙荭   

  1. Institute of Mathematical Sciences, Chengdu Branch, Academia Sinica, Chengdu
  • 收稿日期:1985-10-13 出版日期:1988-10-18 发布日期:1988-10-18
  • 基金资助:

    Project Supported by Natural Science Fund of China

GLOBAL STRUCTURE OF A KIND OF PREDATOR-PREY SYSTEM

Ding Sun-hong   

  1. Institute of Mathematical Sciences, Chengdu Branch, Academia Sinica, Chengdu
  • Received:1985-10-13 Online:1988-10-18 Published:1988-10-18
  • Supported by:

    Project Supported by Natural Science Fund of China

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摘要： In this paper we prove a theorem, theorem 2, on nonexistence of closed trajectory for a general predator-prey system.Then, using this theorem and another theorem on existence and uniqueness of limit cycle for predator-prey system[1], we complete the investigation of a concrete model of predator-prey system[2] x=γx(1-x/K)-yxn/(a+xn) y=y(μxn/(a+xn)-D) (n=1,2) under the conditions of all kinds of parameters.

Abstract: In this paper we prove a theorem, theorem 2, on nonexistence of closed trajectory for a general predator-prey system.Then, using this theorem and another theorem on existence and uniqueness of limit cycle for predator-prey system[1], we complete the investigation of a concrete model of predator-prey system[2] x=γx(1-x/K)-yxn/(a+xn) y=y(μxn/(a+xn)-D) (n=1,2) under the conditions of all kinds of parameters.

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