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 题名: TRAVELING WAVES OF A REACTION-DIFFUSION SIRQ EPIDEMIC MODEL WITH RELAPSE 作者: Zhu, CC; Li, WT(李万同); Yang, FY 收录类别: SCIE 出版日期: 2017-02 刊名: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION 卷号: 7, 期号:1-1, 页码:147-171 出版者: WILMINGTON SCIENTIFIC PUBLISHER, LLC 出版地: WILMINGTON 英文摘要: This paper is concerned with the traveling waves of a reaction diffusion SIRQ epidemic model with relapse. We find that the existence and nonexistence of traveling waves are determined by the basic reproduction number of the system and the minimal wave speed. This threshold dynamics is proved by Schauder's fixed-point theorem combining Lyapunov functional with the theory of asymptotic spreading. Moreover, the numerical simulations are provided to illustrate our analytical results and the effect of the relapse is also discussed. 关键词: Reaction-diffusion equations ; basic reproduction number ; traveling wave solutions ; Schauder's fixed-point theorem ; Lyapunov functional 作者部门: [Zhu, Chengcheng ; Li, Wantong ; Yang, Feiying] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 通讯作者: Li, WT (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China. 学科分类: Mathematics 文章类型: Article 所属项目编号: NSF of China [11271172, 11401277] 所属项目名称: 国家自然科学基金项目 项目资助者: NSFC 语种: 英语 DOI: 10.11948/2017011 ISSN号: 2156-907X WOS记录号: WOS:000385782900011 IR记录号: WOS:000385782900011 第一机构: 是 Citation statistics: 内容类型: 期刊论文 URI标识: http://ir.lzu.edu.cn/handle/262010/189078 Appears in Collections: 数学与统计学院_期刊论文

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 Recommended Citation: Zhu, CC,Li, WT,Yang, FY. TRAVELING WAVES OF A REACTION-DIFFUSION SIRQ EPIDEMIC MODEL WITH RELAPSE[J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION,2017,7(1-1):147-171.
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