Asymptotic behavior for a class of population dynamics

Chuangxia Huang; Luanshan Yang; Jinde Cao; Chuangxia Huang; Luanshan Yang; Jinde Cao

doi:10.3934/math.2020218

AIMS Mathematics

2020, Volume 5, Issue 4: 3378-3390. doi: 10.3934/math.2020218

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Research article

Asymptotic behavior for a class of population dynamics

1.
School of Mathematics and Statistics, Changsha University of Science and Technology; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha 410114, China
2.
School of Mathematics, Southeast University, Nanjing, 211189, China

Received: 06 February 2020 Accepted: 19 March 2020 Published: 01 April 2020
MSC : 34C25, 34K13, 34K25

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.
- population dynamics,
- time-varying delay,
- asymptotic behavior,
- Bernfeld-Haddock conjecture
Citation: Chuangxia Huang, Luanshan Yang, Jinde Cao. Asymptotic behavior for a class of population dynamics[J]. AIMS Mathematics, 2020, 5(4): 3378-3390. doi: 10.3934/math.2020218

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Abstract

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.

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