SPREADING SPEED AND PERIODIC TRAVELING WAVES OF A TIME PERIODIC AND DIFFUSIVE SI EPIDEMIC MODEL WITH DEMOGRAPHIC STRUCTURE

doi:10.3934/cpaa.2021145

	SPREADING SPEED AND PERIODIC TRAVELING WAVES OF A TIME PERIODIC AND DIFFUSIVE SI EPIDEMIC MODEL WITH DEMOGRAPHIC STRUCTURE
	Wang, Shuang-Ming1,2 ; Feng, Zhaosheng 3; Wang, Zhi-Cheng1 ; Zhang, Liang 1
	2022-06
发表期刊	COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
卷号	21 期号:6 页码:2005-2034
摘要	We study the asymptotic spreading properties and periodic traveling wave solutions of a time periodic and diffusive SI epidemic model with demographic structure (follows the logistic growth). Since the comparison principle is not applicable to the full system, we analyze the asymptotic spreading phenomena for susceptible class and infectious class by comparing with respective relevant periodic equations with KPP-type. By applying fixed point theorem to a truncated problem on a finite interval, combining with limit idea, the existence of periodic traveling wave solutions are derived. The results show that the minimal wave speed exactly equals to the spreading speed of infectious class when susceptible class is abundant.
关键词	demographic structure spreading speed periodic traveling fronts persistence Periodic SI epidemic model
DOI	10.3934/cpaa.2021145
收录类别	SCIE
ISSN	1534-0392
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000702890100001
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
原始文献类型	Article
EISSN	1553-5258
引用统计	被引频次：5[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/32021
专题	信息工程与人工智能学院保卫处
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China; 2.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730020, Gansu, Peoples R China; 3.Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA
第一作者单位	兰州财经大学
推荐引用方式 GB/T 7714	Wang, Shuang-Ming,Feng, Zhaosheng,Wang, Zhi-Cheng,et al. SPREADING SPEED AND PERIODIC TRAVELING WAVES OF A TIME PERIODIC AND DIFFUSIVE SI EPIDEMIC MODEL WITH DEMOGRAPHIC STRUCTURE[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2022,21(6):2005-2034.
APA	Wang, Shuang-Ming,Feng, Zhaosheng,Wang, Zhi-Cheng,&Zhang, Liang.(2022).SPREADING SPEED AND PERIODIC TRAVELING WAVES OF A TIME PERIODIC AND DIFFUSIVE SI EPIDEMIC MODEL WITH DEMOGRAPHIC STRUCTURE.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,21(6),2005-2034.
MLA	Wang, Shuang-Ming,et al."SPREADING SPEED AND PERIODIC TRAVELING WAVES OF A TIME PERIODIC AND DIFFUSIVE SI EPIDEMIC MODEL WITH DEMOGRAPHIC STRUCTURE".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 21.6(2022):2005-2034.