Qualitative Analysis for a Reaction-Diffusion Predator-Prey Model with Disease in the Prey Species
Keyword(s):
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.
2012 ◽
Vol 05
(04)
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pp. 1250014
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2011 ◽
Vol 2011
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pp. 1-14
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Keyword(s):
Keyword(s):