Dynamics of a Stochastic Delayed Predator-Prey System with Beddington-DeAngelis Functional Response

• 作者: Mengwei Li Yafei Yang Yuanfu Shao
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: BEDDINGTON-DEANGELIS Response STOCHASTIC Perturbation STOCHASTIC ULTIMATE BOUNDEDNESS Asymptotic MOMENT Estimation
• 年，卷（期）: 2019,（4）
• 页码范围: 93-105
• 页数: 13页
• 分类号: O17

摘要

This paper is concerned with a stochastic predator-prey system with Beddington-DeAngelis functional response and time delay. Firstly, we show that this system has a unique positive solution as this is essential in any population dynamics model. Secondly, the validity of the stochastic system is guaranteed by stochastic ultimate boundedness of the analyzed solution. Finally, by constructing suitable Lyapunov functions, the asymptotic moment estimation of the solution was given. These properties of the solution can provide theoretical support for biological resource management.