Analysis of a Prey-predator Model with Disease in Prey |
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Authors: | Li Jian-jun Gao Wen-jie Sun Peng |
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Institution: | 1. College of Science;Liaoning Technical University;Fuxin;Liaoning;123000;2. Institute of Mathematics;Jilin University;Changchun;130012 |
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Abstract: | In this paper,a system of reaction-diffusion equations arising in ecoepidemiological systems is investigated. The equations model a situation in which a predator species and a prey species inhabit the same bounded region and the predator only eats the prey with transmissible diseases. Local stability of the constant positive solution is considered. A number of existence and non-existence results about the nonconstant steady states of a reaction diffusion system are given. It is proved that if the diffusion ... |
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Keywords: | eco-epidemiology bifurcation non-constant positive steady solution |
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