应用数学2025，Vol.38Issue(2)：527-535,9.
污染环境中种群模型的滑模控制与稳定性分析
Sliding Mode Control and Stability Analysis of a Population Model in a Polluted Environment
摘要
Abstract
In this paper,a population model in a polluted environment with threshold harvesting strategy is established.Firstly,the local stability of the system is analyzed by Routh-Hurwitz criterion when the population density is less than or greater than the threshold level N.Secondly,the existence of sliding mode and its dynamics are discussed based on Utkin equivalent control method when the population density is equal to N.Furthermore,the time delay effect is further considered,sufficient conditions for the local stability of the positive equilibrium and the existence of Hopf bifurcation are given by analyzing the associated characteristic equations.Finally,the theoretical results are explained and supplemented through numerical simulations.关键词
种群模型/滑模控制/时滞/Hopf分支Key words
Population model/Sliding mode control/Time delay/Hopf bifurcation分类
数理科学引用本文复制引用
吕淑婷..污染环境中种群模型的滑模控制与稳定性分析[J].应用数学,2025,38(2):527-535,9.基金项目
宁夏自然科学基金(2022AAC03265) （2022AAC03265）
