Propagation dynamics for a time-periodic reaction-diffusion SI epidemic model with periodic recruitment

doi:10.1007/s00033-021-01575-x

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	Propagation dynamics for a time-periodic reaction-diffusion SI epidemic model with periodic recruitment
	Zhao, Lin 1,2; Wang, Zhi-Cheng 2; Zhang, Liang 2
刊名	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
	2021-08
卷号	72 期号:4
关键词	SI epidemic model Time period The standard incidence rate The asymptotic speed of spread Traveling wave solutions
ISSN号	0044-2275
DOI	10.1007/s00033-021-01575-x
英文摘要	The paper is devoted to the study of the asymptotic speed of spread and traveling wave solutions for a time-periodic reaction-diffusion SI epidemic model which lacks the comparison principle. By using the basic reproduction number R-0 of the corresponding periodic ordinary differential system and the minimal wave speed c, the spreading properties of the corresponding solution of the model are established. More precisely, if R-0 <= 1, then the solution of the system converges to the disease-free equilibrium as t ->infinity and if R-0 > 1, the disease is persistent behind the front and extinct ahead the front. On the basis of it, we then analyze the full information about the existence and nonexistence of traveling wave solutions of the system involved with R-0 and c.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
WOS记录号	WOS:000691507500001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148811]
专题	理学院
作者单位	1.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China; 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Lin,Wang, Zhi-Cheng,Zhang, Liang. Propagation dynamics for a time-periodic reaction-diffusion SI epidemic model with periodic recruitment[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2021,72(4).
APA	Zhao, Lin,Wang, Zhi-Cheng,&Zhang, Liang.(2021).Propagation dynamics for a time-periodic reaction-diffusion SI epidemic model with periodic recruitment.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,72(4).
MLA	Zhao, Lin,et al."Propagation dynamics for a time-periodic reaction-diffusion SI epidemic model with periodic recruitment".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 72.4(2021).