Periodicity in a generalized semi-ratio-dependent predator-prey system with time delays and impulses

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:360

Article

Ding, Xiaoquan^1,2  Jiang, Jifa³ 

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[2] Shandong Agr Univ, Dept Math & Informat Sci, Tai An 271018, Shandong, Peoples R China

[3] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

关键词: Predator-prey system;    Periodic solution;    Semi-ratio-dependent;    Delay;    Impulse;    Coincidence degree;   

DOI  :  10.1016/j.jmaa.2009.06.048

来源: Elsevier

【 摘 要 】

With the help of a continuation theorem based on coincidence degree theory, we establish necessary and sufficient conditions for the existence of positive periodic solutions in a generalized semi-ratio-dependent predator-prey system with time delays and impulses, which covers many models appeared in the literature. When the results reduce to the semi-ratio-dependent predator-prey system without impulses, they generalize and improve some known ones. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free