具收获项的Ⅱ类功能反应的捕-食系统的定性分析

Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (3): 310-317.

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The Qualitative Analysis of A Prey-Predator System of Holling's Ⅱ Functional Response wih Havesting Term

Qhiu Weigen¹, Li Chuanrong², Liu Yongqing¹

1. Automation Department South China University, Guangzhou 510641;
2. Science College Xi'an Jiaotong University Xi'an 710049

Received:1996-10-31 Revised:1997-04-29 Online:1998-09-26 Published:1998-09-26

Abstract

Abstract: The paper and its sister paper mainly investgate a prey-predator system of bolting's Ⅱ functional response with havesting term. By studying the change of relative situations of the separatrixs of two saddle points, a comparative completely qualitative conclusion is given. For the reasion of space,the part of the existence of the limits cycles is left to the next paper.

Key words: Prey-Predator system, Qualitative Analysis, Separatrix cycle, Hopf-bifurcation, Limit cycle

Qhiu Weigen, Li Chuanrong, Liu Yongqing. The Qualitative Analysis of A Prey-Predator System of Holling's Ⅱ Functional Response wih Havesting Term[J].Acta mathematica scientia,Series A, 1998, 18(3): 310-317.

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The Qualitative Analysis of A Prey-Predator System of Holling's Ⅱ Functional Response wih Havesting Term

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