Qualitative Analysis for a Reaction‐Diffusion Predator‐Prey Model with Disease in the Prey Species

Meihong Qiao, Anping Liu and Urszula Foryś

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: A diffusive predator‐prey system with disease in predator species and no‐flux boundary condition is considered. Sufficient conditions which ensure persistence of the system are obtained. Conditions of disease‐free ecosystem are also studied. Furthermore, sufficient conditions for global asymptotic stability of the unique positive equilibrium and disease‐free equilibrium of the system are derived using the approach of Lyapunov function.

Date: 2014
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https://doi.org/10.1155/2014/236208

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:236208

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