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	Traveling wave solutions in temporally discrete reaction-diffusion systems with delays
	Xia, Jing ; Yu, Zhixian
	2011
关键词	Traveling wave solutions reaction-diffusion systems Schauder&apos upper solution lower solution weak quasimonotonity FUNCTIONAL-DIFFERENTIAL EQUATIONS LINEAR INTEGRAL OPERATOR POPULATION-GENETICS INITIAL DATA FRONTS MODEL EXISTENCE DYNAMICS s fixed point theorem
英文摘要	An idea used by W. Li et al. (Nonlinearity 19, 1253-73, 2006) is extended to show existence of traveling wave solutions for a class of temporally discrete reaction-diffusion systems with delays. The result is an generalization of an existing result for scalar equations to systems. As examples, the obtained abstract results will be applied to temporally discrete diffusion-competition systems with delay. Our results suggest temporally discrete diffusion-competition systems are dynamically consistent with the differential diffusion-competition systems. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000296045000004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mechanics; SCI(E); 2; ARTICLE; 10; 809-823; 91
语种	英语
出处	SCI
出版者	zamm zeitschrift fur angewandte mathematik und mechanik
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157578]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xia, Jing,Yu, Zhixian. Traveling wave solutions in temporally discrete reaction-diffusion systems with delays. 2011-01-01.

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