PERSISTENCE AND GLOBAL STABILITY FOR NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME-DELAY

Authors
SONG XY CHEN LS
Citation
Xy. Song et Ls. Chen, PERSISTENCE AND GLOBAL STABILITY FOR NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME-DELAY, Computers & mathematics with applications, 35(6), 1998, pp. 33-40
Citations number
7
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
35
Issue
6
Year of publication
1998
Pages
33 - 40
Database
ISI
SICI code
0898-1221(1998)35:6<33:PAGSFN>2.0.ZU;2-7
Abstract
In this paper, a nonautonomous predator-prey model with diffusion and continuous time delay is studied, where all parameters are time-depend ent. The system, which is composed of two Lotka-Volterra patches, has two species: one can diffuse between two patches, but the other is con fined to one patch and cannot diffuse. It is proved that the system is uniformly persistent under appropriate conditions. Furthermore, suffi cient conditions are established for global stability of the system.