Spatial propagation in nonlocal dispersal Fisher-KPP equations

doi:10.1016/j.jfa.2021.108957

	Spatial propagation in nonlocal dispersal Fisher-KPP equations
	Xu, Wen-Bing 2,3; Li, Wan-Tong 2; Ruan, Shigui 1
刊名	JOURNAL OF FUNCTIONAL ANALYSIS
	2021-05-15
卷号	280 期号:10 页码:35
关键词	Nonlocal dispersal Fisher-KPP equation Spatial propagation Spreading speed Asymmetric kernel
ISSN号	0022-1236
DOI	10.1016/j.jfa.2021.108957
英文摘要	In this paper we focus on three problems about the spreading speeds of nonlocal dispersal Fisher-KPP equations. First, we study the signs of spreading speeds and find that they are determined by the asymmetry level of the nonlocal dispersal and f'(0), where f is the reaction function. This indicates that asymmetric dispersal can influence the spatial dynamics in three aspects: it can determine the spatial propagation directions of solutions, influence the stability of equilibrium states, and affect the monotone property of solutions. Second, we give an improved proof of the spreading speed result by constructing new lower solutions and using the new "forward-backward spreading" method. Third, we investigate the relationship between spreading speed and exponentially decaying initial data. Our result demonstrates that when dispersal is symmetric, spreading speed decreases along with the increase of the exponential decay rate. In addition, the results on the signs of spreading speeds are applied to two special cases where we present more details on the influence of asymmetric dispersal. (C) 2021 Elsevier Inc. All rights reserved.
资助项目	China Postdoctoral Science Foundation[2019M660047] ; NSF of China[11731005] ; National Science Foundation[DMS-1853622]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000629298100001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58327]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Wan-Tong
作者单位	1.Univ Miami, Dept Math, Coral Gables, FL 33146 USA 2.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu, Wen-Bing,Li, Wan-Tong,Ruan, Shigui. Spatial propagation in nonlocal dispersal Fisher-KPP equations[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2021,280(10):35.
APA	Xu, Wen-Bing,Li, Wan-Tong,&Ruan, Shigui.(2021).Spatial propagation in nonlocal dispersal Fisher-KPP equations.JOURNAL OF FUNCTIONAL ANALYSIS,280(10),35.
MLA	Xu, Wen-Bing,et al."Spatial propagation in nonlocal dispersal Fisher-KPP equations".JOURNAL OF FUNCTIONAL ANALYSIS 280.10(2021):35.