Institutional Repository of Coll Mat Sci & Engn
Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period | |
Zhao, Lin1,2; Wang, Zhi-Cheng1; Ruan, Shigui3 | |
2020-02 | |
发表期刊 | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS |
ISSN | 1468-1218 |
卷号 | 51 |
摘要 | Coinfection of hosts with multiple strains or serotypes of the same agent, such as different influenza virus strains, different human papilloma virus strains, and different dengue virus serotypes, is not only a very serious public health issue but also a very challenging mathematical modeling problem. In this paper, we study a time-periodic two-strain SIS epidemic model with diffusion and latent period. We first define the basic reproduction number R-0(i)) and introduce the invasion number (R) over cap (1)(0), for each strain i (i = 1,2), which can determine the ability of each strain to invade the other single-strain. The main question that we investigate is the threshold dynamics of the model. It is shown that if R-0(i) <= 1(i = 1,2), then the disease-free periodic solution is globally attractive; if R-0(i) > 1 >= R-0(j)(i not equal j, i, j = 1, 2), then competitive exclusion, where the jth strain dies out and the ith strain persists, is a possible outcome; and if (R) over cap (i)(0) > 1(i = 1,2), then the disease persists uniformly. Finally we present the basic framework of threshold dynamics of the system by using numerical simulations, some of which are different from that of the corresponding multi-strain SIS ODE models. (C) 2019 Elsevier Ltd. All rights reserved. |
关键词 | SIS epidemic model Two strains Time periodicity Threshold dynamics Basic reproduction number Competitive exclusion |
DOI | 10.1016/j.nonrwa.2019.102966 |
收录类别 | SCI ; SCIE ; EI |
语种 | 英语 |
资助项目 | National Science Foundation[DMS-1412454] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000488994500006 |
出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
EI入藏号 | 20192907190386 |
EI主题词 | Strain |
EI分类号 | 461.7 Health Care - 461.9 Biology - 951 Materials Science |
来源库 | WOS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://ir.lut.edu.cn/handle/2XXMBERH/31471 |
专题 | 材料科学与工程学院 理学院 |
通讯作者 | Wang, Zhi-Cheng |
作者单位 | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China; 3.Univ Miami, Dept Math, Coral Gables, FL 33146 USA |
第一作者单位 | 材料科学与工程学院 |
推荐引用方式 GB/T 7714 | Zhao, Lin,Wang, Zhi-Cheng,Ruan, Shigui. Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2020,51. |
APA | Zhao, Lin,Wang, Zhi-Cheng,&Ruan, Shigui.(2020).Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,51. |
MLA | Zhao, Lin,et al."Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 51(2020). |
条目包含的文件 | 下载所有文件 | |||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
Zhao-2020-Dynamics o(2582KB) | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论