Traveling Wave Solutions of a Delayed Cooperative System

Traveling Wave Solutions of a Delayed Cooperative System

This paper deals with the dynamics of a delayed cooperative system without quasimonotonicity. Using the contracting rectangles, we obtain a sufficient condition on the stability of the unique positive steady state of the functional differential system. When the spatial domain is whole R , th...

Full description

Bibliographic Details
Main Authors: Xue-Shi Li, Shuxia Pan
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Mathematics
Subjects:
contracting rectangle
large delay
minimal wave speed
population dynamics
Online Access:http://www.mdpi.com/2227-7390/7/3/269
id doaj-d8c68aa98bbe41649b19aa966d301cb3
record_format Article
spelling doaj-d8c68aa98bbe41649b19aa966d301cb32020-11-24T23:32:09ZengMDPI AGMathematics2227-73902019-03-017326910.3390/math7030269math7030269Traveling Wave Solutions of a Delayed Cooperative SystemXue-Shi Li0Shuxia Pan1School of Mathematics, Lanzhou City University, Lanzhou 730070, Gansu, ChinaSchool of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, ChinaThis paper deals with the dynamics of a delayed cooperative system without quasimonotonicity. Using the contracting rectangles, we obtain a sufficient condition on the stability of the unique positive steady state of the functional differential system. When the spatial domain is whole R , the existence and nonexistence of traveling wave solutions are investigated, during which the asymptotic behavior is investigated by the contracting rectangles.http://www.mdpi.com/2227-7390/7/3/269contracting rectanglelarge delayminimal wave speedpopulation dynamics
collection DOAJ
language English
format Article
sources DOAJ
author Xue-Shi Li
Shuxia Pan
spellingShingle Xue-Shi Li
Shuxia Pan
Traveling Wave Solutions of a Delayed Cooperative System
Mathematics
contracting rectangle
large delay
minimal wave speed
population dynamics
author_facet Xue-Shi Li
Shuxia Pan
author_sort Xue-Shi Li
title Traveling Wave Solutions of a Delayed Cooperative System
title_short Traveling Wave Solutions of a Delayed Cooperative System
title_full Traveling Wave Solutions of a Delayed Cooperative System
title_fullStr Traveling Wave Solutions of a Delayed Cooperative System
title_full_unstemmed Traveling Wave Solutions of a Delayed Cooperative System
title_sort traveling wave solutions of a delayed cooperative system
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-03-01
description This paper deals with the dynamics of a delayed cooperative system without quasimonotonicity. Using the contracting rectangles, we obtain a sufficient condition on the stability of the unique positive steady state of the functional differential system. When the spatial domain is whole R , the existence and nonexistence of traveling wave solutions are investigated, during which the asymptotic behavior is investigated by the contracting rectangles.
topic contracting rectangle
large delay
minimal wave speed
population dynamics
url http://www.mdpi.com/2227-7390/7/3/269
work_keys_str_mv AT xueshili travelingwavesolutionsofadelayedcooperativesystem
AT shuxiapan travelingwavesolutionsofadelayedcooperativesystem
_version_ 1725535156371980288

Similar Items