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, 1-9

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:236208

DOI: 10.1155/2014/236208

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