A predator-prey interaction model with self and cross-diffusion

Authors
Dubey, B Das, B Hussain, J
Citation
B. Dubey et al., A predator-prey interaction model with self and cross-diffusion, ECOL MODEL, 141(1-3), 2001, pp. 67-76
Citations number
45
Categorie Soggetti
Environment/Ecology
Journal title
ECOLOGICAL MODELLING
ISSN journal
03043800 → ACNP
Volume
141
Issue
1-3
Year of publication
2001
Pages
67 - 76
Database
ISI
SICI code
0304-3800(20010701)141:1-3<67:APIMWS>2.0.ZU;2-X
Abstract
In this paper, a mathematical model for a predator-prey interaction with se lf and cross-diffusion is proposed and analysed. Criteria for local stabili ty. instability and global stability are obtained. The effect of the critic al wave length which can drive a system to instability is investigated. The effect of time-varying cross-diffusivity on the stability of the system is also examined. (C) 2001 Elsevier Science B.V. All rights reserved.