Stage-Structured Predator-Prey Model with Diseased Prey and a Predator with a Crowley-Martin-Type Functional Response Function
This paper investigates a predator-prey model in which the prey is infected,the predator has a stage-structure and the predator's functional response function is of the Crowley-Martin type.It is assumed that the disease is only prevalent among prey and that the predator captures both susceptible and infected prey.In the paper,the global asymptotic stability of all boundary equilibria points in the model is obtained by combining monotone dynamical system theory and the construction of Lyapunov generalized functions.Secondly,we get the sufficient conditions of uniform persistence for the infected prey by using the uniform persistence theory.Finally,in the numerical simulation part,not only the results of the qualitative theoretical analysis in the paper are verified,but also the model with Crowley-Martin type functional response function and the model with Beddington-DeAngelis type functional response function are compared and analyzed,which extends the results of the qualitative theoretical analysis in the paper.
predator-prey modelinfected preystage-structureCrowley-Martin type func-tional response functionglobal asymptotic stability
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