| 一类分数阶食饵-捕食者系统的动力学分析 |
| |
| 引用本文： | 张学友,赵 薇,赵育林.一类分数阶食饵-捕食者系统的动力学分析[J].湖南工业大学学报,2022,36(4):83-89. |
| |
| 作者姓名： | 张学友 赵 薇 赵育林 |
| |
| 作者单位： | 湖南工业大学 理学院 |
| |
| 摘 要： | 研究了一类食饵具有密度制约和避难所的Holling-II型分数阶食饵-捕食者系统的动力学性质，通过定性分析方法讨论了系统解的存在唯一性、非负性和有界性，分析了平衡点存在的条件以及各类平衡点的局部渐进稳定性，并通过数值仿真验证了有关结论的正确性。
|
| 关 键 词： | 分数阶 食饵-捕食者系统 Holling-II型 平衡点 稳定性 |
| 收稿时间： | 2021/7/14 0:00:00 |
A Dynamic Analysis of a Fractional Order Prey-Predator System |
| |
| ZHANG Xueyou,ZHAO Wei,ZHAO Yulin.A Dynamic Analysis of a Fractional Order Prey-Predator System[J].Journal of Hnnnan University of Technology,2022,36(4):83-89. |
| |
| Authors: | ZHANG Xueyou ZHAO Wei ZHAO Yulin |
| |
| Abstract: | A research has been conducted on the dynamic properties of Holling-II fractional order prey predator system with density constraints and shelters, followed by an inquiry into the existence, uniqueness, non-negativity and boundedness of the system solution with the qualitative analysis method adopted, as well as an analysis of the conditions for the existence of equilibrium points and the local asymptotic stability of various equilibrium points, with the validity of the relevant conclusions verified by a numerical simulation. |
| |
| Keywords: | |
|
| 点击此处可从《湖南工业大学学报》浏览原始摘要信息 |
|
点击此处可从《湖南工业大学学报》下载全文 |
|
