Nonplanar Wave of Two-Species Competition Model

碩士 === 國立臺灣大學 === 數學研究所 === 100 === This paper is concerned with existence and stability of traveling curved fronts for the Lotka-Voterra system in the two-dimensional space. Using the supersolution and the subsolution, we construct a traveling wave, and show that it is the unique traveling wave sol...

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Main Authors:	Wei-Hung Liao, 廖偉宏
Other Authors:	Chiun-Chuan Chen
Format:	Others
Language:	en_US
Published:	2012
Online Access:	http://ndltd.ncl.edu.tw/handle/78330684344876049570

id	ndltd-TW-100NTU05479031
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spelling	ndltd-TW-100NTU054790312015-10-13T21:50:18Z http://ndltd.ncl.edu.tw/handle/78330684344876049570 Nonplanar Wave of Two-Species Competition Model 雙競爭物種的非平面波 Wei-Hung Liao 廖偉宏碩士國立臺灣大學數學研究所 100 This paper is concerned with existence and stability of traveling curved fronts for the Lotka-Voterra system in the two-dimensional space. Using the supersolution and the subsolution, we construct a traveling wave, and show that it is the unique traveling wave solution. Our supersolution can be taken arbitrarily large, which implies global asymptotic stability for the traveling wave. Chiun-Chuan Chen 陳俊全 2012 學位論文 ; thesis 46 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立臺灣大學 === 數學研究所 === 100 === This paper is concerned with existence and stability of traveling curved fronts for the Lotka-Voterra system in the two-dimensional space. Using the supersolution and the subsolution, we construct a traveling wave, and show that it is the unique traveling wave solution. Our supersolution can be taken arbitrarily large, which implies global asymptotic stability for the traveling wave.
author2	Chiun-Chuan Chen
author_facet	Chiun-Chuan Chen Wei-Hung Liao 廖偉宏
author	Wei-Hung Liao 廖偉宏
spellingShingle	Wei-Hung Liao 廖偉宏 Nonplanar Wave of Two-Species Competition Model
author_sort	Wei-Hung Liao
title	Nonplanar Wave of Two-Species Competition Model
title_short	Nonplanar Wave of Two-Species Competition Model
title_full	Nonplanar Wave of Two-Species Competition Model
title_fullStr	Nonplanar Wave of Two-Species Competition Model
title_full_unstemmed	Nonplanar Wave of Two-Species Competition Model
title_sort	nonplanar wave of two-species competition model
publishDate	2012
url	http://ndltd.ncl.edu.tw/handle/78330684344876049570
work_keys_str_mv	AT weihungliao nonplanarwaveoftwospeciescompetitionmodel AT liàowěihóng nonplanarwaveoftwospeciescompetitionmodel AT weihungliao shuāngjìngzhēngwùzhǒngdefēipíngmiànbō AT liàowěihóng shuāngjìngzhēngwùzhǒngdefēipíngmiànbō
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Nonplanar Wave of Two-Species Competition Model

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