Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model

碩士 === 國立中正大學 === 數學系應用數學研究所 === 105 === In this study, we investigate traveling wave solutions in the Producer-Scrounger model proposed by Cosner & Nevai [2]. Previous studies [8] suggest that traveling wave solutions to this model exist only if the associated threshold constant $R_0$ is larger...

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Main Authors:	WU, CHIH-CHI, 吳芷綺
Other Authors:	HWANG, TZY-WEI
Format:	Others
Language:	en_US
Published:	2017
Online Access:	http://ndltd.ncl.edu.tw/handle/e5dra9

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spelling	ndltd-TW-105CCU005070092019-05-15T23:24:51Z http://ndltd.ncl.edu.tw/handle/e5dra9 Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model WU, CHIH-CHI 吳芷綺碩士國立中正大學數學系應用數學研究所 105 In this study, we investigate traveling wave solutions in the Producer-Scrounger model proposed by Cosner & Nevai [2]. Previous studies [8] suggest that traveling wave solutions to this model exist only if the associated threshold constant $R_0$ is larger than one. Further, if $R_0>1$, then there exists a critical value $c_m$ such that a traveling wave solution with speed c exists for $c>c_m$, whereas a traveling wave solution with speed c does not exist for $c<c_m$. This leaves open the question whether a traveling wave solution with speed $c_m$ exists. In this study, we give an affirmative answer to this question. HWANG, TZY-WEI 黃子偉 2017 學位論文 ; thesis 27 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立中正大學 === 數學系應用數學研究所 === 105 === In this study, we investigate traveling wave solutions in the Producer-Scrounger model proposed by Cosner & Nevai [2]. Previous studies [8] suggest that traveling wave solutions to this model exist only if the associated threshold constant $R_0$ is larger than one. Further, if $R_0>1$, then there exists a critical value $c_m$ such that a traveling wave solution with speed c exists for $c>c_m$, whereas a traveling wave solution with speed c does not exist for $c<c_m$. This leaves open the question whether a traveling wave solution with speed $c_m$ exists. In this study, we give an affirmative answer to this question.
author2	HWANG, TZY-WEI
author_facet	HWANG, TZY-WEI WU, CHIH-CHI 吳芷綺
author	WU, CHIH-CHI 吳芷綺
spellingShingle	WU, CHIH-CHI 吳芷綺 Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model
author_sort	WU, CHIH-CHI
title	Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model
title_short	Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model
title_full	Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model
title_fullStr	Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model
title_full_unstemmed	Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model
title_sort	existence of traveling waves with minimum speed in the producer-scrounger model
publishDate	2017
url	http://ndltd.ncl.edu.tw/handle/e5dra9
work_keys_str_mv	AT wuchihchi existenceoftravelingwaveswithminimumspeedintheproducerscroungermodel AT wúzhǐqǐ existenceoftravelingwaveswithminimumspeedintheproducerscroungermodel
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Existence of Traveling Waves with Minimum Speed in the Producer-Scrounger Model

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