Year: 2010
Author: Jianjun Li, Wenjie Gao, Peng Sun
Communications in Mathematical Research , Vol. 26 (2010), Iss. 1 : pp. 27–40
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. Local stability of the constant positive solution is considered. 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 prey with disease is treated as a bifurcation parameter, non-constant positive steady-state solutions may bifurcate from the constant steady-state solution under some conditions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-CMR-19175
Communications in Mathematical Research , Vol. 26 (2010), Iss. 1 : pp. 27–40
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: eco-epidemiology bifurcation non-constant positive steady solution.