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Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity | |
Zhang, Xiao-Bing; Wang, Xiao-Dong; Huo, Hai-Feng | |
2019-10 | |
发表期刊 | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS |
ISSN | 0378-4371 |
卷号 | 531 |
摘要 | In this paper, a stochastic SIRS model with standard incidence rate and partial temporary immunity is proposed. The sufficient conditions of the extinction and the existence of a stationary probability measure for the disease are established. Our results reveal that random perturbations in the environment can restrain the spread of disease. That is, the deterministic model neglecting random perturbations overestimates the ability of the disease to spread. The numerical simulations are carried out to demonstrate the analytical results. (C) 2019 Elsevier B.V. All rights reserved. |
关键词 | SIRS epidemic model Extinction Stationary distribution Stochastic perturbation |
DOI | 10.1016/j.physa.2019.121548 |
收录类别 | SCI ; SCIE |
语种 | 英语 |
资助项目 | Natural Science Foundation of China[11661050][11861044] ; NSF of Gansu Province of China[061707] ; Development Program for HongLiu Outstanding Young Teachers in Lanzhou University of Technology, People's Republic of China[Q201308] |
WOS研究方向 | Physics |
WOS类目 | Physics, Multidisciplinary |
WOS记录号 | WOS:000482494100038 |
出版者 | ELSEVIER |
EI入藏号 | 20192507075832 |
EI主题词 | Stochastic models |
EI分类号 | 461.7 Health Care - 741.1 Light/Optics - 922.1 Probability Theory - 961 Systems Science |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/31524 |
专题 | 材料科学与工程学院 理学院 学科建设与学位办公室 |
通讯作者 | Zhang, Xiao-Bing |
作者单位 | Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China |
第一作者单位 | 材料科学与工程学院 |
通讯作者单位 | 材料科学与工程学院 |
第一作者的第一单位 | 材料科学与工程学院 |
推荐引用方式 GB/T 7714 | Zhang, Xiao-Bing,Wang, Xiao-Dong,Huo, Hai-Feng. Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2019,531. |
APA | Zhang, Xiao-Bing,Wang, Xiao-Dong,&Huo, Hai-Feng.(2019).Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,531. |
MLA | Zhang, Xiao-Bing,et al."Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 531(2019). |
条目包含的文件 | ||||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
Zhang-2019-Extinctio(471KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 |
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