Persistence and global stability in a delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:265

Article

Xu, R ; Chaplain, MAJ

关键词: delay;    uniform persistence;    stability;    Lyapunov functional;   

DOI  :  10.1006/jmaa.2001.7701

来源: Elsevier

【 摘 要 】

A delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing 1 suitable Lyapunov functional, sufficient conditions are derived for the local and global asymptotic stability of the positive equilibrium of the system. (C) 2002 Elsevier Science.

【 授权许可】

Free