具有社区观点和感染媒介的离散时间网络SIS传染病模型的动态分析
Dynamic Analysis of a Discrete-Time Networked SIS Epidemic Model with Community Opinions and Infectious Vectors
摘要: 本文建立了一类具有社区观点和感染媒介的离散时间网络化SIS传染病模型,根据基于观点的基本 再生数的不同取值,我们将传染病的传播程度分为轻度,中度和重度三种情况,并分析了在不同传 播程度下健康状态与地方病平衡点的稳定性,揭示了社区观点在降低群体感染水平方面具有积极作 用。
Abstract: This paper establishes a discrete-time networked SIS epidemic model with community opinions and infection media. Based on different values of the opinion-dependent basic reproduction number, we classify the transmission severity into three cases: mild, moderate, and severe, and analyze the stability of the healthy state and the endemic equilibrium under each transmission level, revealing that community opinions play a positive role in reducing the infection level of the population.
文章引用:陈玉. 具有社区观点和感染媒介的离散时间网络SIS传染病模型的动态分析[J]. 理论数学, 2026, 16(10): 127-146. https://doi.org/10.12677/PM.2026.1610219

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