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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/63768

Title:	離散型動態系統的行進波解的存在性 Existence of Traveling Wave Solutions for Discrete Dynamical Systems
Authors:	鄭岱暘
Contributors:	符聖珍鄭岱暘
Keywords:	離散型動態系統行進波解 Discrete Dynamical Systems Traveling Wave
Date:	2014
Issue Date:	2014-02-10 16:46:49 (UTC+8)
Abstract:	證明當0<k<1<h或0<h<1<k時，存在一個正的常數cmin使得格子動態系統中有行進波解若且唯若c>=cmin。 We show that if 0 < k < 1 < h or 0 < h < 1 < k then there exists a positive constant cmin such that the LDS admits a traveling wave solution if and only if c >= cmin.
Reference:	[1] Y. Hosono, The minimal speed of traveling fronts for a diffusive Lokta-Volterra competition model, Bulletin of Math. Biology 60 (1998), 435-448. [2] Y. Kan-on, Instability of stationary solutions for Lokta-Volterra competition model with diffusion, J. Math. Anal. Appl. 208 (1997), 158-170. [3] C. Conley, R. Gardner, An application of generalized Morse index to traveling wave solutions of a competitive reaction diffusion model, Indiana Univ. math. J.33 (1984) 319-343. [4] R.A. Gardner, Existence and stability of traveling wave solutions of competi- tion models: a degree theoretic, J. Differential Equations 44 (1982), 343-362. [5] M.M. Tang. P.C. Fife, Propagating fronts for competing species equations with diffusion, Arch. Ration. Mech. Anal. 73 (1980) 69-77. [6] J.-S. Guo, C.-H. Wu, Traveling wave front for a two-component lattice dynam- ical system arising in competition models, J. Diff. Eqns 252 (2012) 4357-4391.
Description:	碩士國立政治大學應用數學研究所 100751003 103
Source URI:	http://thesis.lib.nccu.edu.tw/record/#G0100751003
Data Type:	thesis
Appears in Collections:	[Department of Mathematical Sciences] Theses

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