Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model

Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.aml.2007.10.026

Title:	Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model
Authors:	Wang, M. Pang, P.Y.H.
Keywords:	Global asymptotic stability Iteration method Predator-prey model Ratio-dependent response function
Issue Date:	Nov-2008
Citation:	Wang, M., Pang, P.Y.H. (2008-11). Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model. Applied Mathematics Letters 21 (11) : 1215-1220. ScholarBank@NUS Repository. https://doi.org/10.1016/j.aml.2007.10.026
Abstract:	In this work, we study a ratio-dependent prey-predator model with diffusion and homogeneous Neumann boundary condition. We prove that the unique positive constant steady state is locally and uniformly stable, and is globally asymptotically stable under some assumptions. The proof uses the iteration method. © 2008 Elsevier Ltd. All rights reserved.
Source Title:	Applied Mathematics Letters
URI:	http://scholarbank.nus.edu.sg/handle/10635/103341
ISSN:	08939659
DOI:	10.1016/j.aml.2007.10.026
Appears in Collections:	Staff Publications

There are no files associated with this item.

Check