纺织高校基础科学学报2024，Vol.37Issue(3)：107-117,11.DOI:10.13338/j.issn.1006-8341.2024.03.013
一类随机SEIAQR腮腺炎传染病模型的动力学分析
Dynamic analysis on an SEIAQR mumps infection model with stochastic effects
摘要
Abstract
To explore the influence of random factors on the spread of mumps in real environ-ment,an SEIAQR mumps infection model with stochastic effects is studied.Firstly,the existence and uniqueness of global positive solutions of stochastic models are proven by means of the stop-time theory.Secondly,the oscillating behavior of the solutions of the random model near the disease-free equilibrium point and the endemic equilibrium point of the corresponding deterministic model is analyzed by constructing the Lyapunov function and Itô formula.Then the sufficient conditions for the mean duration of the random model solution and the extinction of the disease are explored.Finally,the influence of noise on the model is added into the numerical simulations.The results show that the stochastic model vibrates near the equilibrium point of the deterministic model,and the disturbance degree with the noise intensity positively correlates.The sufficiently loud noise makes the disease extinct.关键词
随机模型/震荡行为/平衡点/持久性与灭绝性Key words
stochastic model/oscillating behavior/balance point/persistence and extinction分类
数理科学引用本文复制引用
蒋为平,张太雷,梁媛..一类随机SEIAQR腮腺炎传染病模型的动力学分析[J].纺织高校基础科学学报,2024,37(3):107-117,11.基金项目
陕西省自然科学基础研究计划项目(2022JM-023) （2022JM-023）
