Analysis of a prey-predator model with disease in prey |
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Authors: | Jianjun Li Wenjie Gao |
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Affiliation: | a College of Science, Liaoning Technical University, Fuxin 123000, PR China b Institute of Mathematics, Jilin University, Changchun 130012, PR China |
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Abstract: | In this paper, a system of reaction-diffusion equations arising in eco-epidemiological 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. A number of existence and non-existence results about the non-constant steady states of a reaction diffusion system are given. It is proved that if the diffusion coefficient of the predator is treated as bifurcation parameter, non-constant positive steady-state solutions may bifurcate from the constant steady-state solution under some conditions. |
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Keywords: | Eco-epidemiology Bifurcations Non-constant positive steady solution |
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