Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay

41Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.

Abstract

In this paper, a nonautonomous predator-prey model with diffusion and continuous time delay is studied, where all parameters are time-dependent. The system, which is composed of two Lotka-Volterra patches, has two species: one can diffuse between two patches, but the other is confined to one patch and cannot diffuse. It is proved that the system is uniformly persistent under appropriate conditions. Furthermore, sufficient conditions are established for global stability of the system.

Cite

CITATION STYLE

APA

Song, X., & Chen, L. (1998). Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay. Computers and Mathematics with Applications, 35(6), 33–40. https://doi.org/10.1016/S0898-1221(98)00015-7

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free