Abstract
Parasites and pathogens has great impact upon the predator–prey system. Disease in ecological system can not be ignored and disease in prey species is well-studied. But disease in predator population paid little attention to the literature. Present study explores a predator–prey model with disease circulating in predator species only. The ecological as well as disease basic reproduction numbers are derived from local stability of different equilibrium points. We have also explained the biological significance of these numbers and studied the community structure of model system by these numbers. The conditions for Hopf bifurcation and persistence of the system has been analyzed under some conditions. Our numerical results reveal that disease introduction in predator species stabilizes the predator–prey species. We have also observed that proper predation stabilizes the predator–prey oscillations.
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