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Dynamic analysis of an impulsive predator-prey model with disease in prey and Ivlev-type functional response. (English) Zbl 1246.92028
Summary: A predator-prey model with disease in the prey, Ivlev-type functional response, and impulsive effects is proposed. By using Floquet theory and small amplitude perturbations skill, sufficient conditions for existence and global stability of susceptible pest-eradication periodic solutions are obtained. By the impulsive comparison theorem, conditions ensuring the permanence of the system are established. Examples and simulations are given to show the complex dynamics of the key parameters.

MSC:
92D40Ecology
37N25Dynamical systems in biology
34A37Differential equations with impulses
65C20Models (numerical methods)
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Full Text: DOI
References:
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