A generalized stochastic SIR epidemic model with vaccination rules

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-10-10 DOI:10.1515/ijnsns-2021-0448

Zhi-hui Ma, Ting Qi, Xiaohua Li

引用次数: 0

Abstract

Abstract In this paper, a generalized stochastic SIR epidemic model with vaccination rules is presented and the threshold behavior of the proposed epidemic model is investigated. Firstly, the stability of the equilibrium of the deterministic system is considered and the corresponding conditions are obtained. Secondly, the threshold of a stochastic SIR system for the extinction and the permanence in mean of epidemic disease are investigated. The results show that a larger stochastic disturbance can cause infections diseases to go to extinction. However, for a relatively small stochastic disturbance, the evolutionary dynamics of the epidemic diseases are overwhelmingly depend on the incidence function. This implies that the stochastic disturbance and the incidence function play an important role in diseases control. To test the theoretical results, a series of numerical simulations of these cases with respect to different noise disturbance coefficients are conducted.

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具有接种规则的广义随机SIR流行病模型

摘要本文提出了一种具有接种规则的广义随机SIR流行病模型，并研究了该模型的阈值行为。首先，考虑了确定性系统平衡的稳定性，得到了相应的条件。其次，研究了随机SIR系统对流行病的消灭和均值持久性的阈值。结果表明，较大的随机扰动会使传染病走向灭绝。然而，对于一个相对较小的随机扰动，流行病的进化动力学绝大多数依赖于发病率函数。这说明随机扰动和发病率函数在疾病控制中起着重要的作用。为了验证理论结果，对不同噪声干扰系数下的这些情况进行了一系列数值模拟。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.