Spreading fronts in a partially degenerate integro-differential reaction-diffusion system

doi:10.1007/s00033-017-0858-9

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	Spreading fronts in a partially degenerate integro-differential reaction-diffusion system
	Li, Wan-Tong 1; Zhao, Meng 1; Wang, Jie2
	2017-10
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	68 期号:5
摘要	This paper is concerned with the spreading and vanishing of an epidemic disease, which is described by a partially degenerate reaction-diffusion system with the nonlocal term and double free boundaries. We first consider the sign of the corresponding principal eigenvalue, which is determined by some given conditions. Then, we get the sufficient conditions that ensure the disease spreading or vanishing. At last, when spreading occurs, some rough estimates of the asymptotic spreading speed are given under some conditions.
关键词	Epidemic model Partially degenerate Nonlocal Free boundary Spreading and vanishing
DOI	10.1007/s00033-017-0858-9
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000411063800009
出版者	SPRINGER BASEL AG
引用统计	被引频次：6[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/33078
专题	理学院材料科学与工程学院
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Li, Wan-Tong,Zhao, Meng,Wang, Jie. Spreading fronts in a partially degenerate integro-differential reaction-diffusion system[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2017,68(5).
APA	Li, Wan-Tong,Zhao, Meng,&Wang, Jie.(2017).Spreading fronts in a partially degenerate integro-differential reaction-diffusion system.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,68(5).
MLA	Li, Wan-Tong,et al."Spreading fronts in a partially degenerate integro-differential reaction-diffusion system".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 68.5(2017).

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