Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:262

Article

Xu, R ; Chen, LS

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

DOI  :  10.1006/jmaa.2001.7524

来源: Elsevier

【 摘 要 】

A delayed nonautonomous three-species predator-prey Lotka-Volterra system without dominating instantaneous negative feedback is investigated. It is proved that the system is uniformly persistent under appropriate conditions. By constructing a suitable Lyapunov functional, sufficient conditions are derived for the global stability of the system. (C) 2001 Academic Press.

【 授权许可】

Free