Spreading Speed in A Nonmonotone Equation with Dispersal and Delay

doi:10.3390/math7030291

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	Spreading Speed in A Nonmonotone Equation with Dispersal and Delay
	Liu, Xi-Lan 1; Pan, Shuxia 2
刊名	MATHEMATICS
	2019-03-21
卷号	7 期号:3
关键词	asymptotic spreading auxiliary equation minimal wave speed
DOI	10.3390/math7030291
英文摘要	This paper is concerned with the estimation of spreading speed of a nonmonotone equation, which involves time delay and nonlocal dispersal. Due to the time delay, this equation does not generate monotone semiflows when the positive initial value is given. By constructing an auxiliary monotone equation, we obtain the spreading speed when the initial value admits nonempty compact support. Moreover, by passing to a limit function, we confirm the existence of traveling wave solutions if the wave speed equals to the spreading speed, which states the minimal wave speed of traveling wave solutions and improves the known results.
资助项目	NSF of China[10461040]
WOS研究方向	Mathematics
语种	英语
出版者	MDPI
WOS记录号	WOS:000464368400005
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32028]
专题	理学院
通讯作者	Pan, Shuxia
作者单位	1.Baoji Univ Arts & Sci, Sch Math & Informat Sci, Baoji 721013, Shannxi, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xi-Lan,Pan, Shuxia. Spreading Speed in A Nonmonotone Equation with Dispersal and Delay[J]. MATHEMATICS,2019,7(3).
APA	Liu, Xi-Lan,&Pan, Shuxia.(2019).Spreading Speed in A Nonmonotone Equation with Dispersal and Delay.MATHEMATICS,7(3).
MLA	Liu, Xi-Lan,et al."Spreading Speed in A Nonmonotone Equation with Dispersal and Delay".MATHEMATICS 7.3(2019).