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

• 作者: Mengwei Li Yafei Yang Yuanfu Shao
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: IMPULSES Perturbations Periodic Solution Non-Linear HARVESTING STOCHASTIC PREDATOR-PREY Systems Globally ATTRACTIVE
• 年，卷（期）: 2019,（4）
• 页码范围: 89-103
• 页数: 15页
• 分类号: O17

摘要

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.