Conditions for global attractivity of n-patches predator-prey dispersion-delay models

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:253

Article

Song, XY ; Chen, LS

关键词: predator-prey system;    dispersion;    delay;    persistence;    global attractivity;   

DOI  :  10.1006/jmaa.2000.6836

来源: Elsevier

【 摘 要 】

In this paper, a nonautonomous predator-prey dispersion model with functional response and continuous time delay is studied, where all parameters are time dependent. In this system, which consists of n-patches, the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. It is proved the system is uniformly persistent under any dispersion rate effect. Furthermore, the sufficient conditions are established for global attractivity of a periodic solution of the system. (C) 2001 Academic Press.

【 授权许可】

Free