Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment

doi:10.1007/s00033-022-01729-5

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	Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment
	Cheng, Chengcheng 1; Zheng, Zuohuan 2,3,4
刊名	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
	2022-04-01
卷号	73 期号:2 页码:27
关键词	Almost periodic Free boundary Principal Lyapunov exponent Spreading-vanishing Asymptotic spreading speed
ISSN号	0044-2275
DOI	10.1007/s00033-022-01729-5
英文摘要	We put forward a reaction-diffusion cooperative system for the West Nile virus in a spatial heterogeneous and time almost periodic environment with free boundaries. The existence, uniqueness and regularity estimates of the global solution for this epidemic model are given. Focused on the effects of spatial heterogeneity and time almost periodicity, we introduce the principal Lyapunov exponent lambda(t) dependent on t and get the initial infected critical size L* which plays a vital part in analyzing the threshold dynamics and the long-time asymptotic behaviors of the solution. We build the spreading-vanishing dichotomy regimes of this model and obtain several criteria determining the spreading or vanishing. Our analysis result suggests that the solution converges to a positive time almost periodic function (U* (x, t), V* (x, t)) locally uniformly when the spreading occurs. We discover that the initial disease infected domain and the front expanding rate have momentous impacts on the permanence and extinction of the disease. Moreover, we give the lower and the upper bound estimates about the asymptotic spreading speeds of the double free fronts when the spreading happens.
资助项目	NSF of China[11671382] ; NSF of China[12031020] ; CAS Key Project of Frontier Sciences[QYZDJ-SSW-JSC003] ; Key Lab. of Random Complex Structures and Data Sciences CAS ; National Center for Mathematics and Interdisciplinary Sciences CAS
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER INT PUBL AG
WOS记录号	WOS:000776050200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60242]
专题	应用数学研究所
通讯作者	Cheng, Chengcheng
作者单位	1.Beijing Normal Univ, Sch Math Sci, MOE, Lab Math & Complex Syst, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Hainan Normal Univ, Coll Math & Stat, Haikou 571158, Hainan, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Chengcheng,Zheng, Zuohuan. Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2022,73(2):27.
APA	Cheng, Chengcheng,&Zheng, Zuohuan.(2022).Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,73(2),27.
MLA	Cheng, Chengcheng,et al."Analysis of a reaction-diffusion system about West Nile virus with free boundaries in the almost periodic heterogeneous environment".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 73.2(2022):27.