Travelling wave fronts in a vector disease model with delay

doi:10.1016/j.apm.2007.10.002

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	Travelling wave fronts in a vector disease model with delay
	Lin, Guojian 1,2; Hong, Yiguang 2
	2008-12-01
发表期刊	APPLIED MATHEMATICAL MODELLING
ISSN	0307-904X
卷号	32 期号:12 页码:2831-2838
摘要	In this paper, we study the diffusive vector disease model with delay. This problem with strong biological background has attracted much research attention. We focus on the existence of traveling wave fronts, and find that there is a moving zone for the transition from the disease-free state to the infective state. To complete the theoretical analysis, we employ the mathematical tools including the monotone iteration technique as well as the upper and lower solution method. (C) 2007 Elsevier Inc. All rights reserved.
关键词	vector disease model travelling wave front monotone iteration technique upper and lower solution
DOI	10.1016/j.apm.2007.10.002
语种	英语
资助项目	NNSF of China[10626051] ; NNSF of China[60425307] ; NNSF of China[60628302] ; NNSF of China[60221301] ; Scientific Research Foundation of Renmin University of China[07XNA008]
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000259785500025
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6969
专题	中国科学院数学与系统科学研究院
通讯作者	Lin, Guojian
作者单位	1.Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lin, Guojian,Hong, Yiguang. Travelling wave fronts in a vector disease model with delay[J]. APPLIED MATHEMATICAL MODELLING,2008,32(12):2831-2838.
APA	Lin, Guojian,&Hong, Yiguang.(2008).Travelling wave fronts in a vector disease model with delay.APPLIED MATHEMATICAL MODELLING,32(12),2831-2838.
MLA	Lin, Guojian,et al."Travelling wave fronts in a vector disease model with delay".APPLIED MATHEMATICAL MODELLING 32.12(2008):2831-2838.