| 基于Allee效应诱导的Filippov生态系统的动力学行为研究 |
| |
| 引用本文： | 覃文杰,关海艳,王培培,唐光耀. 基于Allee效应诱导的Filippov生态系统的动力学行为研究[J]. 应用数学和力学, 2020, 0(4): 438-447 |
| |
| 作者姓名： | 覃文杰 关海艳 王培培 唐光耀 |
| |
| 作者单位： | 三峡大学三峡数学研究中心;湖北民族大学数学系 |
| |
| 基金项目： | 国家自然科学基金(11601268,11761031,11801311)。 |
| |
| 摘 要： | 该文建立了一类由Allee效应诱导的非光滑Filippov切换系统.运用Filippov系统的定性分析方法,从理论上研究了系统的滑动区域、滑动模态和各类平衡点的存在性.同时用数值方法研究了系统的滑动模态分支、边界焦点分支及全局动力学行为.研究发现:Allee效应的强度可使种群的动态不稳定,不利于濒危生物种群的管理.
|
| 关 键 词： | ALLEE效应 Filippov系统 滑动模态 滑动分支 |
Dynamic Behaviors of Filippov Ecosystems Induced by Allee Effects |
| |
| QIN Wenjie,GUAN Haiyan,WANG Peipei,TANG Guangyao. Dynamic Behaviors of Filippov Ecosystems Induced by Allee Effects[J]. Applied Mathematics and Mechanics, 2020, 0(4): 438-447 |
| |
| Authors: | QIN Wenjie GUAN Haiyan WANG Peipei TANG Guangyao |
| |
| Affiliation: | (Three Gorges Mathematical Research Center,China Three Gorges University,Yichang,Hubei 443002,P.R.China;Department of Mathematics,Hubei Minzu University,Enshi,Hubei 445000,P.R.China) |
| |
| Abstract: | A non-smooth Filippov predator-prey system induced by Allee effects was proposed.The sliding domain,the sliding mode dynamics and the existence of several equilibria were discussed by means of the qualitative theory and method related to the Filippov system.Furthermore,the sliding mode bifurcation,the boundary focus bifurcation and the global dynamic behaviors were given through numerical simulations.The results indicate that,the intensity of Allee effects could make the dynamics of population become unstable,and may be unfavorable for the protection of endangered species. |
| |
| Keywords: | Allee effect Filippov system sliding mode sliding bifurcation |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
