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狂风1981(金币+2, 博学EPI+1): 谢谢! 2011-09-16 12:33:50
FN Thomson Reuters Web of Knowledge
VR 1.0
PT J
AU Zhao, HQ
AF Zhao, Hai-Qin
TI Traveling wavefronts in a bistable reaction diffusion system with spatio-temporal delay
SO COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
LA English
DT Article
DE Existence; Uniqueness; Traveling wavefronts; Reaction-diffusion system; Spatio-temporal delay
ID FUNCTIONAL-DIFFERENTIAL EQUATIONS; INTEGRAL-EQUATIONS; NONLOCAL DELAY; SPREAD; MODEL; CONVERGENCE; UNIQUENESS; STABILITY; EXISTENCE
AB This paper is concerned with a reaction-diffusion system with spatio-temporal delay. Under the bistable assumptions, the existence of traveling wavefronts is established by transforming the system with spatio-temporal delay to a three-dimensional reaction-diffusion system without delay. The uniqueness (up to a translation) of the traveling wavefronts is also proved by using upper and lower solutions technique. From the point of view of epidemiology, the result implies that the spatio-temporal delay appeared in the interaction term is not sensitive to the moving zone for the transition from the disease-free state to the infective state. (C) 2011 Elsevier B.V. All rights reserved.
C1 Xianyang Normal Univ, Dept Math, Xianyang 712000, Shaanxi, Peoples R China
RP Zhao, HQ (reprint author), Xianyang Normal Univ, Dept Math, Xianyang 712000, Shaanxi, Peoples R China
EM zhaohq03@lzu.cn
FU Xianyang Normal University[06XSYK247]
FX Supported by the Talent Project of Xianyang Normal University(06XSYK247).
NR 22
TC 0
Z9 0
PU ELSEVIER SCIENCE BV
PI AMSTERDAM
PA PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
SN 1007-5704
J9 COMMUN NONLINEAR SCI
JI Commun. Nonlinear Sci. Numer. Simul.
PD NOV
PY 2011
VL 16
IS 11
BP 4276
EP 4283
DI 10.1016/j.cnsns.2011.02.017
PG 8
WC Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical
SC Mathematics; Mechanics; Physics
GA 789SP
UT WOS:000292536900014
ER
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