A discrete analogue of an integrodifferential equation

	A discrete analogue of an integrodifferential equation
	Liu, P ; Chen, LS ; Cui, X
刊名	COMPUTERS & MATHEMATICS WITH APPLICATIONS
	1999-02-01
卷号	37 期号:3 页码:41-55
关键词	delay difference equation linear chain trick asymptotic stability
ISSN号	0898-1221
英文摘要	A discrete version of the integrodifferential equation dx(t)/dt = x(t) [a - x(t) - b integral(-infinity)(t) k(t - s)x(s) ds] is formulated. It is shown that the discrete equation has a globally asymptotically stable positive equilibrium under the same conditions with which the positive equilibrium of the integrodifferential equation is globally asymptotically stable. The integrodifferential equation has applications in population dynamics. (C) 1999 Elsevier Science Ltd. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000078640600006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/14693]
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, P
作者单位	1.Flinders Univ S Australia, Dept Math & Stat, Bedford Pk, SA 5042, Australia 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, P,Chen, LS,Cui, X. A discrete analogue of an integrodifferential equation[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,1999,37(3):41-55.
APA	Liu, P,Chen, LS,&Cui, X.(1999).A discrete analogue of an integrodifferential equation.COMPUTERS & MATHEMATICS WITH APPLICATIONS,37(3),41-55.
MLA	Liu, P,et al."A discrete analogue of an integrodifferential equation".COMPUTERS & MATHEMATICS WITH APPLICATIONS 37.3(1999):41-55.