Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 24, Pages 9933-9947Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.04.030
Keywords
Ratio-dependent; Predator-prey model; Diffusion; Disease; Stability
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Funding
- NNSF of PR China [10671031]
- Ministry of Education [106062]
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This paper is purported to study a reaction diffusion system arising from a ratio-dependent predator-prey model with disease. We study the dynamical behavior of the predator-prey system. The conditions for the permanent and existence of steady states and their stability are established. We can obtain the bounds for positive steady state of the corresponding elliptic system. The non-existence results of non-constant positive solutions are derived. (C) 2011 Elsevier Inc. All rights reserved.
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