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

الملخص EN

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.