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.

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

赵明, 程荣福

北华大学数学学院, 吉林吉林 132013

收稿日期:2008-11-18 出版日期:2009-07-26 发布日期:2009-08-24
通讯作者: 赵明 E-mail:kingzhao1969@163.com

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

摘要/Abstract

摘要：

研究一类具有生物控制和比率型功能反应的食物链系统. 利用重合度理论中的延拓定理, 证明了该系统周期解的存在性, 得到一组保证该系统存在正周期解的充分条件.

关键词: 捕食者食饵系统；比率型功能性反应；反馈控制；周期解；重合度

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

中图分类号:

O175.8

赵明, 程荣福. 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[J]. J4, 2009, 47(4): 730-736.

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.