应用数学2026，Vol.39Issue(3)：849-858,10.
具有心理效应和Markov切换的随机海洛因传播模型的动力学研究
Dynamical Study of a Stochastic Heroin Epidemic Model with Psychological Effects and Markov Switching
摘要
Abstract
This paper studies the problem of controlling heroin epidemic under the interference of psychological effects and Markov switching stochastic factors.By Lyapunov functions and R10＜1,we obtain that this system will eventually become extinct.Meanwhile,when R20＞1,this system is positive recurrence,thus indicating that this type of infectious disease will persist for a long time.The research provides a scientific basis for the prevention and control of heroin epidemic.关键词
海洛因/Markov切换/心理效应/灭绝性/正回复性Key words
Heroin epidemic model/Markov switching/Psychological effect/Extinction/Positive recurrence分类
数理科学引用本文复制引用
卢煜,柳雅兰,余艳萍,吴佳琦,徐诺言,魏永昌..具有心理效应和Markov切换的随机海洛因传播模型的动力学研究[J].应用数学,2026,39(3):849-858,10.基金项目
国家自然基金基金(11871118) （11871118）
大学生创新创业项目(Yz2024336) （Yz2024336）
