Qualitative analysis for a ratio-dependent predator-prey model with disease and diffusion |
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Authors: | Jing Wang Xin Qu |
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Institution: | a School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China b Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China |
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Abstract: | 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. |
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Keywords: | Ratio-dependent Predator-prey model Diffusion Disease Stability |
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