Uniqueness of limiting solution to a strongly competing system

Uniqueness of limiting solution to a strongly competing system

We prove a uniqueness for the positive solution to a strongly competing system of Lotka-Volterra type problem in the limiting configuration, when the competition rate tends to infinity. We give an alternate proof of uniqueness based on properties of limiting solutions.

Bibliographic Details
Main Authors: Avetik Arakelyan, Farid Bozorgnia
Format: Article
Language:English
Published: Texas State University 2017-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Spatial segregation
free boundary problems
maximum principle
Online Access:http://ejde.math.txstate.edu/Volumes/2017/96/abstr.html
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spelling doaj-2361b3cd0f2844fd8f83917b260affc42020-11-25T00:06:30ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-04-01201796,18Uniqueness of limiting solution to a strongly competing systemAvetik Arakelyan0Farid Bozorgnia1 NAS of Armenia, Yerevan, Armenia Inst. Superior Tecnico, Lisbon, Portugal We prove a uniqueness for the positive solution to a strongly competing system of Lotka-Volterra type problem in the limiting configuration, when the competition rate tends to infinity. We give an alternate proof of uniqueness based on properties of limiting solutions.http://ejde.math.txstate.edu/Volumes/2017/96/abstr.htmlSpatial segregationfree boundary problemsmaximum principle
collection DOAJ
language English
format Article
sources DOAJ
author Avetik Arakelyan
Farid Bozorgnia
spellingShingle Avetik Arakelyan
Farid Bozorgnia
Uniqueness of limiting solution to a strongly competing system
Electronic Journal of Differential Equations
Spatial segregation
free boundary problems
maximum principle
author_facet Avetik Arakelyan
Farid Bozorgnia
author_sort Avetik Arakelyan
title Uniqueness of limiting solution to a strongly competing system
title_short Uniqueness of limiting solution to a strongly competing system
title_full Uniqueness of limiting solution to a strongly competing system
title_fullStr Uniqueness of limiting solution to a strongly competing system
title_full_unstemmed Uniqueness of limiting solution to a strongly competing system
title_sort uniqueness of limiting solution to a strongly competing system
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2017-04-01
description We prove a uniqueness for the positive solution to a strongly competing system of Lotka-Volterra type problem in the limiting configuration, when the competition rate tends to infinity. We give an alternate proof of uniqueness based on properties of limiting solutions.
topic Spatial segregation
free boundary problems
maximum principle
url http://ejde.math.txstate.edu/Volumes/2017/96/abstr.html
work_keys_str_mv AT avetikarakelyan uniquenessoflimitingsolutiontoastronglycompetingsystem
AT faridbozorgnia uniquenessoflimitingsolutiontoastronglycompetingsystem
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