AIMS Mathematics, 2020, 5(4): 3378-3390. doi: 10.3934/math.2020218.

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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

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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Keywords 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. AIMS Mathematics, 2020, 5(4): 3378-3390. doi: 10.3934/math.2020218

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