具有无穷分布时滞和反馈控制的周期阶段结构单种群模型

Abstract

Abstract:

In this paper, we investigate a periodic stage structure single-population model with infinitely distributed delay and feedback control. Firstly, a sufficient criterion for the existence of a unique globally asymptotically stable periodic solution for the auxiliary system-periodic stage structure single-population model is derived. Secondly, we establish sufficiency criteria on the permanence of the model and the existence of a positive periodic solution in the form of integral. Finally, we illustrate the results with numerical simulations.

Key words: Permanence, Periodic solution, Infinite delay, Feedback control, Stage structure

CLC Number:

O175

Yin Ruixia, Wang Zedong, Zhang Long. A Periodic Stage Structure Single-Population Model with Infinite Delay and Feedback Control[J].Acta mathematica scientia,Series A, 2024, 44(4): 994-1011.

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A Periodic Stage Structure Single-Population Model with Infinite Delay and Feedback Control

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