Spreading Speed in A Nonmonotone Equation with Dispersal and Delay | |
Liu, Xi-Lan1; Pan, Shuxia2 | |
刊名 | MATHEMATICS
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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). |
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