Travelling waves for the population genetics model with delay

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	Travelling waves for the population genetics model with delay
	Lin, Guojian ; Yuan, Rong
	2006-07-01
发表期刊	ANZIAM JOURNAL
ISSN	1446-1811
卷号	48 页码:57-71
摘要	Under the assumptions that the spatial variable is one dimensional and the distributed delay kernel is the general Gamma distributed delay kernel, when the average delay is small, the existence of travelling wave solutions for the population genetics model with distributed delay is obtained by using the linear chain trick and geometric singular perturbation theory. On the other hand, for the population genetics model with small discrete delay, the existence of travelling wave solutions is obtained by employing a technique which is based on a result concerning the existence of the inertial manifold for small discrete delay equations.
关键词	travelling wave population genetics model geometric singular perturbation theory inertial manifold
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000241339200005
出版者	AUSTRALIAN MATHEMATICS PUBL ASSOC 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/2615
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.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Beijing Normal Univ, Sch Math, Beijing 100875, Peoples R China
推荐引用方式 GB/T 7714	Lin, Guojian,Yuan, Rong. Travelling waves for the population genetics model with delay[J]. ANZIAM JOURNAL,2006,48:57-71.
APA	Lin, Guojian,&Yuan, Rong.(2006).Travelling waves for the population genetics model with delay.ANZIAM JOURNAL,48,57-71.
MLA	Lin, Guojian,et al."Travelling waves for the population genetics model with delay".ANZIAM JOURNAL 48(2006):57-71.