Asymptotic behavior for a class of population dynamics

This paper investigates the asymptotic behavior for a class of n-dimensional population dynamics systems described by delay differential equations. With the help of technique of differential inequality, we show that each solution of the addressed systems tends to a constant vector as t → ∞, which in...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 4; pp. 3378 - 3390
Main Authors Huang, Chuangxia, Yang, Luanshan, Cao, Jinde
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
asymptotic behavior
bernfeld-haddock conjecture
population dynamics
time-varying delay
Online AccessGet full text

Cover

More Information
Summary:This paper investigates the asymptotic behavior for a class of n-dimensional population dynamics systems described by delay differential equations. With the help of technique of differential inequality, we show that each solution of the addressed systems tends to a constant vector as t → ∞, which includes many generalizations of Bernfeld-Haddock conjecture. By the way, our results extend some existing literatures.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020218