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A predator-prey system with viral infection and anorexia response. (English) Zbl 1089.92057

Summary: A generalized Gause model of predator-prey systems is proposed with an introduction of viral infection on the prey population and anorexia response on the predator population. By using the comparison theorem and constructing suitable Lyapunov functions, we study such a modified predator-prey system with almost periodic coefficients. Some sufficient conditions are obtained for the existence of a unique almost periodic solution. Numerical simulations of a predator-prey system with anorexia response and one without anorexia response are performed. Our observations suggest that the anorexia response on predator populations has a destabilizing effect on the persistence of such eco-epidemiological predator-prey systems.

MSC:

92D40 Ecology
92D30 Epidemiology
34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
34C60 Qualitative investigation and simulation of ordinary differential equation models
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