Ergodicity and extinction in a stochastic susceptible-infected-recovered-susceptible epidemic model with influence of information

IF 1.4 3区社会学 Q3 DEMOGRAPHY

Mathematical Population Studies Pub Date : 2018-09-14 DOI:10.1080/08898480.2018.1493869

Xiaojie Mu, Qimin Zhang, Hanna Wu, Xining Li

引用次数: 6

Abstract

ABSTRACT An epidemic model with stochastic contact transmission coefficient takes into account white noise and the influence of information. Sufficient conditions for the extinction and persistence of the disease are expressed. The existence of a stationary distribution and the ergodic property are proved. The peak of infected population can be decreased by information. The analytical results are showed by simulations and the influence of white noise and information on the dynamics of epidemics are evaluated.

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受信息影响的随机易感感染恢复易感流行病模型的遍历性和灭绝性

考虑白噪声和信息影响的随机接触传播系数流行病模型。提出了该病消灭和持续存在的充分条件。证明了平稳分布的存在性和遍历性。通过信息传递可以降低感染高峰。通过仿真验证了分析结果，并评价了白噪声和信息对传染病动力学的影响。

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

Mathematical Population Studies 数学-数学跨学科应用

CiteScore

3.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Population Studies publishes carefully selected research papers in the mathematical and statistical study of populations. The journal is strongly interdisciplinary and invites contributions by mathematicians, demographers, (bio)statisticians, sociologists, economists, biologists, epidemiologists, actuaries, geographers, and others who are interested in the mathematical formulation of population-related questions. The scope covers both theoretical and empirical work. Manuscripts should be sent to Manuscript central for review. The editor-in-chief has final say on the suitability for publication.