THE QUALITATIVE ANALYSIS OF TWO SPECIES PREDATOR-PREY MODEL WITH ROLLING’S TYPE III FUNCTIONAL RESPONSE

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (1): 77-86.

THE QUALITATIVE ANALYSIS OF TWO SPECIES PREDATOR-PREY MODEL WITH ROLLING’S TYPE III FUNCTIONAL RESPONSE

陈均平¹, 张洪德²

1. Chongqing University, Chongqing;
2. Nanchung Teachers College, Nanchung

收稿日期:1984-09-24 出版日期:1986-01-18 发布日期:1986-01-18

THE QUALITATIVE ANALYSIS OF TWO SPECIES PREDATOR-PREY MODEL WITH ROLLING’S TYPE III FUNCTIONAL RESPONSE

Chen Jun-ping¹, Zhang Hong-de²

1. Chongqing University, Chongqing;
2. Nanchung Teachers College, Nanchung

Received:1984-09-24 Online:1986-01-18 Published:1986-01-18

摘要/Abstract

摘要： This paper is denoted to the qualitative analysis of two species predator-prey model with Boiling’s type III functional response. Conditions for the global stability ofnontrivial equilibrium points and conditions for the existence and uniqueness of limit cycles around the positive equilibrium point are obtained. The biological interpretations of these conditions are discussed. The authors believe that the conditions established in this paper are new to literature.

关键词: unbalance elastic rotor, safety margin, comparative positive-area criterion (CPAC), bifurcation and chaos

Abstract: This paper is denoted to the qualitative analysis of two species predator-prey model with Boiling’s type III functional response. Conditions for the global stability ofnontrivial equilibrium points and conditions for the existence and uniqueness of limit cycles around the positive equilibrium point are obtained. The biological interpretations of these conditions are discussed. The authors believe that the conditions established in this paper are new to literature.

Key words: unbalance elastic rotor, safety margin, comparative positive-area criterion (CPAC), bifurcation and chaos

陈均平;张洪德. THE QUALITATIVE ANALYSIS OF TWO SPECIES PREDATOR-PREY MODEL WITH ROLLING’S TYPE III FUNCTIONAL RESPONSE[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(1): 77-86.

Chen Jun-ping;Zhang Hong-de. THE QUALITATIVE ANALYSIS OF TWO SPECIES PREDATOR-PREY MODEL WITH ROLLING’S TYPE III FUNCTIONAL RESPONSE[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(1): 77-86.

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THE QUALITATIVE ANALYSIS OF TWO SPECIES PREDATOR-PREY MODEL WITH ROLLING’S TYPE III FUNCTIONAL RESPONSE

THE QUALITATIVE ANALYSIS OF TWO SPECIES PREDATOR-PREY MODEL WITH ROLLING’S TYPE III FUNCTIONAL RESPONSE

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