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Periodic Solution for Stochastic Predator-Prey Systems with Nonlinear Harvesting and Impulses
College of Physics, Guilin University of Technology, Guilin, China
College of Physics, Guilin University of Technology, Guilin, China
College of Physics, Guilin University of Technology, Guilin, China
- 1 College of Physics, Guilin University of Technology, Guilin, China
- 2 College of Physics, Guilin University of Technology, Guilin, China
- 3 College of Physics, Guilin University of Technology, Guilin, China
Advances in Linear Algebra & Matrix Theory·Volume 09 (2019)·Pages 89–103·Published 15 November 2019·DOI10.4236/alamt.2019.94007
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Abstract
In this paper, astochastic predator-prey systems with nonlinear harvesting and impulsive effect are investigated. Firstly, we show the existence and uniqueness of the global positive solution of the system. Secondly, by constructing appropriate Lyapunov function and using comparison theorem with an impulsive differential equation, we study that a positive periodic solution exists. Thirdly, we prove that system is globally attractive. Finally, numerical simulations are presented to show the feasibility of the obtained results.
KeywordsImpulses PerturbationsPeriodic SolutionNon-Linear HarvestingStochastic Predator-Prey SystemsGlobally Attractive
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