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ÎÄÌ⣺Traveling wavefronts in a bistable reaction diffusion system with spatio-temporal delay
×÷ÕߣºHai-Qin Zhao
ÆÚ¿¯£ºCommunications in Nonlinear Science and Numerical Simulations


ÀàËÆÓÚÏÂÃæÕâÖֵģº
PT J
AU ...   
AF ...   
TI Existence and uniqueness of traveling waves for non-monotone integral
   equations with application
SO JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
C1 [Wu, Shi-Liang; Liu, San-Yang] Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R China.
RP Wu, SL, Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R
   China.
EM tunshl03@lzu.cn
TC 2
SN 0022-247X
PD MAR 15
PY 2010
VL 365
IS 2
BP 729
EP 741
DI 10.1016/j.jmaa.2009.11.028
UT ISI:000274351200030
ER

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¿ñ·ç1981(½ð±Ò+2, ²©Ñ§EPI+1): лл! 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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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  COMMUNICA ...

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