TITLE:
Periodic Solution for Stochastic Predator-Prey Systems with Nonlinear Harvesting and Impulses
AUTHORS:
Yafei Yang, Yuanfu Shao, Mengwei Li
KEYWORDS:
Impulses Perturbations, Periodic Solution, Non-Linear Harvesting, Stochastic Predator-Prey Systems, Globally Attractive
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.9 No.4,
November
15,
2019
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.