一类具生物控制和比率型功能反应的食物链系统周期解的存在性

J4 ›› 2009, Vol. 47 ›› Issue (4): 730-736.

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Existence of Periodic Solution of a Food Chain System withBiocontrol and Ratio Functional Response

ZHAO Meng, CHENG Rong-Fu

College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China

Received:2008-11-18 Online:2009-07-26 Published:2009-08-24
Contact: ZHAO Meng E-mail:kingzhao1969@163.com

Abstract

Abstract:

A food chain system with biocontrol and ratio functional response was investigated. By means of the prolongation theorem of coincidence degree Theory, the existence of the periodic solutions of the system was proved, a set of sufficient conditions to guarantee the existence of the positive periodic solutions of the system were obtained.

Key words: predatorprey system, ratio functional response, feedback control, periodic solution, coincidence degree

CLC Number:

O175.8

ZHAO Meng, CHENG Rong-Fu. Existence of Periodic Solution of a Food Chain System withBiocontrol and Ratio Functional Response[J].J4, 2009, 47(4): 730-736.

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Existence of Periodic Solution of a Food Chain System withBiocontrol and Ratio Functional Response

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