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ÄÇλ°ïÎÒ²éÒ»ÏÂÏÂÃæÕâÆªÎÄÕµÄÍêÕûµÄ¼ìË÷ÐÅÏ¢¡£ 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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5Â¥2011-09-16 12:33:30
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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 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 -------------------------------------------------------------------------------- EF |
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2Â¥2011-09-16 10:10:26
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3Â¥2011-09-16 10:15:59
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4Â¥2011-09-16 10:59:26













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