将对疫苗接种的不同态度纳入传染病的隔室模型。

IF 2.6 4区工程技术 Q1 Mathematics

Mathematical Biosciences and Engineering Pub Date : 2025-01-21 DOI:10.3934/mbe.2025011

Yi Jiang, Kristin M Kurianski, Jane HyoJin Lee, Yanping Ma, Daniel Cicala, Glenn Ledder

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引用次数: 0

摘要

我们开发了一个机制模型，根据流行病学状态（SIR）和疫苗接种态度（愿意或不愿意/不能）对个体进行分类，目的是发现疾病传播如何受到疫苗接种观念变化的影响。对模型的分析确定了无病和地方病平衡的存在性和稳定性准则。数值模拟结果表明，疾病流行引起的态度变化会破坏地方病平衡，从而导致极限环。

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Incorporating changeable attitudes toward vaccination into compartment models for infectious diseases.

We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (Willing or Unwilling/Unable), with the goal of discovering how disease spread is influenced by changing opinions about vaccination. Analysis of the model identifies the existence and stability criteria for both disease-free and endemic disease equilibria. The analytical results, supported by numerical simulations, show that attitude changes induced by disease prevalence can destabilize endemic disease equilibria, resulting in limit cycles.

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来源期刊

Mathematical Biosciences and Engineering 工程技术-数学跨学科应用

CiteScore

3.90

自引率

7.70%

发文量

586

审稿时长

>12 weeks

期刊介绍： Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).