一类传染病模型的稳定性分析
Analysis on Stability for a Class of Epidemiological Model
DOI: 10.12677/AAM.2022.114187, PDF,    科研立项经费支持
作者: 亓若琳, 李 静*：临沂大学数学与统计学院，山东 临沂
关键词: 传染病模型；离散随机；渐近稳定性；Epidemiological Model； Discrete and Stochastic； Asymptotic Stability
摘要: 本文主要研究一类离散随机动力系统的稳定性，利用定性分析的方法对随机模型进行研究，获得传染病模型中平衡点渐近稳定的条件及其相应结论并对其进行模拟验证。
Abstract: The stability of an epidemic model with discrete and stochastic version will be studied. We observe the analytical study for the stochastic model in detail and find out the conditions for asymptotic stability of the endemic equilibrium in the mean sense, and then give the simulation of the system.
文章引用：亓若琳, 李静. 一类传染病模型的稳定性分析[J]. 应用数学进展, 2022, 11(4): 1715-1719. https://doi.org/10.12677/AAM.2022.114187

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