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Periodic Solution for Stochastic Predator-Prey Systems with Nonlinear Harvesting and Impulses

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Document pages: 15 pages

Abstract: In this paper, astochastic predator-prey systems with nonlinear harvestingand impulsive effect are investigated. Firstly, we show the existence and uniquenessof the global positive solution of the system. Secondly, by constructingappropriate Lyapunov function and using comparison theorem with animpulsive differential equation, we study that a positive periodic solution exists.Thirdly, we prove that system is globally attractive. Finally, numericalsimulations are presented to show the feasibility of the obtained results.

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