Traveling Wave Solutions of a Diffusive SEIR Epidemic Model with Nonlinear Incidence Rate

doi:10.11650/tjm/181009

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	Traveling Wave Solutions of a Diffusive SEIR Epidemic Model with Nonlinear Incidence Rate
	Zhao, Lin 1; Zhang, Liang 2; Huo, Haifeng 1
刊名	TAIWANESE JOURNAL OF MATHEMATICS
	2019-08-01
卷号	23 期号:4 页码:951-980
关键词	SEIR epidemic model nonlinear incidence rate the basic reproduction number the minimal speed traveling wave solutions
ISSN号	1027-5487
DOI	10.11650/tjm/181009
英文摘要	This paper is concerned with the existence and nonexistence of traveling wave solutions of a diffusive SEIR epidemic model with nonlinear incidence rate, which are determined by the basic reproduction number R-0 and the minimal wave speed c. Namely, the system admits a nontrivial traveling wave solution if R-0 > 1 and c >= c and then the non-existence of traveling wave solutions of the system is established if R-0 > 1 and 0 < c < c*. Especially, using numerical simulation, we give the basic framework of traveling wave solutions of the system.
WOS研究方向	Mathematics
语种	英语
出版者	MATHEMATICAL SOC REP CHINA
WOS记录号	WOS:000476474300010
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/155331]
专题	理学院学科建设与学位办公室
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,Zhang, Liang,Huo, Haifeng. Traveling Wave Solutions of a Diffusive SEIR Epidemic Model with Nonlinear Incidence Rate[J]. TAIWANESE JOURNAL OF MATHEMATICS,2019,23(4):951-980.
APA	Zhao, Lin,Zhang, Liang,&Huo, Haifeng.(2019).Traveling Wave Solutions of a Diffusive SEIR Epidemic Model with Nonlinear Incidence Rate.TAIWANESE JOURNAL OF MATHEMATICS,23(4),951-980.
MLA	Zhao, Lin,et al."Traveling Wave Solutions of a Diffusive SEIR Epidemic Model with Nonlinear Incidence Rate".TAIWANESE JOURNAL OF MATHEMATICS 23.4(2019):951-980.