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|Title:||Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model|
|Keywords:||Global asymptotic stability|
Ratio-dependent response function
|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|
|Appears in Collections:||Staff Publications|
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