TRAVELING WAVE SOLUTION FOR A DIFFUSION SEIR EPIDEMIC MODEL WITH SELF-PROTECTION AND TREATMENT

doi:10.3934/era.2020118

	TRAVELING WAVE SOLUTION FOR A DIFFUSION SEIR EPIDEMIC MODEL WITH SELF-PROTECTION AND TREATMENT
	Huo, Hai-Feng; Hu, Shi-Ke; Xiang, Hong
刊名	ELECTRONIC RESEARCH ARCHIVE
	2021
卷号	29 期号:3 页码:2325-2358
关键词	Self-protection treatment Schauder fixed point theorem Lyapunov functional two-sides Laplace transform
DOI	10.3934/era.2020118
英文摘要	A reaction-diffusion SEIR model, including the self-protection for susceptible individuals, treatments for infectious individuals and constant recruitment, is introduced. The existence of traveling wave solution, which is determined by the basic reproduction number R-0 and wave speed c, is firstly proved as R-0 > 1 and c >= c* via the Schauder fixed point theorem, where c* is minimal wave speed. Asymptotic behavior of traveling wave solution at infinity is also proved by applying the Lyapunov functional. Furthermore, when R-0 <= 1 or R-0 > 1 with c is an element of (0, c*), we derive the non-existence of traveling wave solution with utilizing two-sides Laplace transform. We take advantage of numerical simulations to indicate the existence of traveling wave, and show that self-protection and treatment can reduce the spread speed at last.
WOS研究方向	Mathematics
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000644468500005
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148176]
专题	学科建设与学位办公室理学院
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Huo, Hai-Feng,Hu, Shi-Ke,Xiang, Hong. TRAVELING WAVE SOLUTION FOR A DIFFUSION SEIR EPIDEMIC MODEL WITH SELF-PROTECTION AND TREATMENT[J]. ELECTRONIC RESEARCH ARCHIVE,2021,29(3):2325-2358.
APA	Huo, Hai-Feng,Hu, Shi-Ke,&Xiang, Hong.(2021).TRAVELING WAVE SOLUTION FOR A DIFFUSION SEIR EPIDEMIC MODEL WITH SELF-PROTECTION AND TREATMENT.ELECTRONIC RESEARCH ARCHIVE,29(3),2325-2358.
MLA	Huo, Hai-Feng,et al."TRAVELING WAVE SOLUTION FOR A DIFFUSION SEIR EPIDEMIC MODEL WITH SELF-PROTECTION AND TREATMENT".ELECTRONIC RESEARCH ARCHIVE 29.3(2021):2325-2358.