Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus

doi:10.1016/j.jmaa.2020.124507

CSpace > 应用数学研究所

	Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus
	Cheng, Chengcheng 1,2; Zheng, Zuohuan1,2,3
	2021
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	493 期号:1 页码:24
摘要	This paper aims to explore the temporal-spatial spreading and asymptotic behaviors of West Nile virus (WNv) by a reaction-advection-diffusion system with free boundaries, especially considering the impact of advection term on the extinction and persistence of West Nile virus. We define the spatial-temporal risk index R-0(F) (t) with the advection rate (mu) and the general basic disease reproduction number R-0(D) to get the vanishing-spreading dichotomy regimes of West Nile virus. We show that there exists a threshold value mu* of the advection rate, and obtain the threshold results of mu. When the spreading occurs, we investigate the asymptotic dynamical behaviors of the solution in the long run and first give an estimate that the asymptotic spreading speed of the leftward front is less than or equal to the rightward front in the case of 0 < mu < mu. At last, we give some numerical simulations to identify the significant effects of the advection. (c) 2020 Elsevier Inc. All rights reserved.
关键词	West Nile virus Advection Free boundary Basic reproduction number Vanishing-spreading Asymptotic spreading speed
DOI	10.1016/j.jmaa.2020.124507
收录类别	SCI
语种	英语
资助项目	NSF of China[11671382] ; CAS Key Project of Frontier Sciences[QYZDJ-SSW-JSC003] ; Key Lab. of Random Complex Structures and Data Sciences CAS ; National Center for Mathematics and InterdisciplinarySciences CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000576820100011
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52365
专题	应用数学研究所
通讯作者	Zheng, Zuohuan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.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. Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2021,493(1):24.
APA	Cheng, Chengcheng,&Zheng, Zuohuan.(2021).Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,493(1),24.
MLA	Cheng, Chengcheng,et al."Dynamics and spreading speed of a reaction-diffusion system with advection modeling West Nile virus".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 493.1(2021):24.