反應擴散系統中波之傳遞

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Title:	反應擴散系統中波之傳遞
Other Titles:	Wave Propagation in Reaction-Diffusion Systems
Authors:	郭忠勝
Contributors:	淡江大學數學學系
Keywords:	波之傳遞;反應擴散系統;行進波;行進點波;旋轉點波;螺旋波;Wave propagation;Reaction-diffusion system;Traveling wave;Traveling spot;Rotating spot;Spiral wave
Date:	2010
Issue Date:	2011-07-06 00:29:17 (UTC+8)
Abstract:	本三年期計畫之主要目的是繼續研究波之傳遞現象。我們將特別著重於由生物、化學反應、激活物抑制因子系統等產生的一些相關反應擴散系統。相關的例子有傳染病模型，競爭系統，FitzHugh-Nagumo系統，自催化化學反應系統，等等。我們將著重於研究行進鋒波、行進脈動波、行進點波、旋轉點波、螺旋波等解的存在性與唯一性。 In this three-year-project, we shall continue our study on the wave propagation phenomena. Our main concerns shall be concentrated on the reaction-diffusion systems arising in biology, chemical reaction, activator-inhibitor systems, and so on. Examples are epidemic models, competition system, FitzHugh-Nagumo system, autocatalytic chemical reaction system, etc. We shall focus on the study of the existence and uniqueness of traveling waves (front and/or pulse type), traveling spots, rotating spots and spiral waves of these systems.
Appears in Collections:	[Graduate Institute & Department of Mathematics] Research Paper

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