期刊论文

Global Dynamics of Holling Type I Predator-Prey Model with Equal Proportion of Prey Refuge

中文

理论数学

2160-7583

2023

4

902-916

本校为第一机构

在本文中,通过引入阈值策略,研究一类具有等比例的猎物避难所的Holling I型捕食-食饵模型并对其进行了全局分析,以确定模型的全局动力学。 现利用Filippov 理论,Lyapunov 函数法和格林公式等方法,在两个...展开更多 在本文中,通过引入阈值策略,研究一类具有等比例的猎物避难所的Holling I型捕食-食饵模型并对其进行了全局分析,以确定模型的全局动力学。 现利用Filippov 理论,Lyapunov 函数法和格林公式等方法,在两个子系统的全局动力学的基础上,对阈值策略下的捕食-食饵模型,我们研究其滑模动力学和全局动力学。 最后通过数值模拟对理论结果进行验证。收起

In this paper, The objective of this paper is to investigate a Global dynamics of Holling type I predator-prey model with equal proportion of prey refuge by introducing threshold strategy. Here we provide a global qualitative analysis to determine the global dynamics of...MORE In this paper, The objective of this paper is to investigate a Global dynamics of Holling type I predator-prey model with equal proportion of prey refuge by introducing threshold strategy. Here we provide a global qualitative analysis to determine the global dynamics of the model. Making use of Filippov theory, Lyapunov ...