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Analysis of an impulsive predator-prey system with Monod-Haldane functional response and seasonal effects. (English) Zbl 1180.92085

Summary: For a class of impulsive predator-prey systems with Monod-Haldane functional response and seasonal effects, conditions for local and global stability of prey-free solutions and for the permanence of the system by using Floquet theory of impulsive differential equations and comparison techniques are investigated. In addition, we analyze numerically the phenomena caused by seasonal effects and impulsive perturbations. This will be applicable to the controllability of the prey population and the predator population.

MSC:

92D40 Ecology
34A37 Ordinary differential equations with impulses
34D20 Stability of solutions to ordinary differential equations
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References:

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