Spatiotemporal propagation of a time-periodic reaction-diffusion SI epidemic model with treatment

doi:10.1111/sapm.12646

	Spatiotemporal propagation of a time-periodic reaction-diffusion SI epidemic model with treatment
	Wang, Shuang-Ming1,2 ; Zhang, Liang1,3
	2023-10-11
发表期刊	STUDIES IN APPLIED MATHEMATICS
卷号	152 期号:1 页码:342-375
摘要	This work is concerned with the spatiotemporal propagation phenomena for a time-periodic reaction-diffusion susceptible-infectious (SI) epidemic model with treatment in terms of the asymptotic speed of spread and periodic traveling waves. First, the asymptotic speed of spread c$c<^>$ is characterized and the spreading properties of the model are analyzed by combining the periodic principal eigenvalue problem, comparison method, and the uniform persistence idea for a dynamical system. Second, by constructing suitable super- and subsolutions for truncation problems corresponding to the traveling wave system, the existence of periodic traveling waves is established via the fixed point theorem twice. It turned out that the asymptotic speed of spread coincides with the minimum wave speed of periodic traveling waves. Finally, via numerical simulation, the effects of some important parameters (such as diffusion rate, treatment rate, etc.) on the spreading speed are discussed, and the asymptotic properties of the periodic traveling waves are explored.
关键词	asymptotic speed of spread diffusive SI epidemic model with treatment periodic traveling waves persistence time periodic
DOI	10.1111/sapm.12646
收录类别	SCIE ; EI
ISSN	0022-2526
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:001078915900001
出版者	WILEY
EI入藏号	20234214878014
EI主题词	Dynamical systems
EI分类号	461.7 Health Care ; 921.6 Numerical Methods
原始文献类型	Article ; Early Access
EISSN	1467-9590
引用统计	被引频次：1[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/35356
专题	信息工程与人工智能学院 MBA教育中心
通讯作者	Zhang, Liang
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou, Gansu, Peoples R China; 2.Lanzhou Univ Finance & Econ, Sch Finance, Lanzhou, Gansu, Peoples R China; 3.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
第一作者单位	兰州财经大学
推荐引用方式 GB/T 7714	Wang, Shuang-Ming,Zhang, Liang. Spatiotemporal propagation of a time-periodic reaction-diffusion SI epidemic model with treatment[J]. STUDIES IN APPLIED MATHEMATICS,2023,152(1):342-375.
APA	Wang, Shuang-Ming,&Zhang, Liang.(2023).Spatiotemporal propagation of a time-periodic reaction-diffusion SI epidemic model with treatment.STUDIES IN APPLIED MATHEMATICS,152(1),342-375.
MLA	Wang, Shuang-Ming,et al."Spatiotemporal propagation of a time-periodic reaction-diffusion SI epidemic model with treatment".STUDIES IN APPLIED MATHEMATICS 152.1(2023):342-375.