具有季节性切换反应及脉冲扰动的鱼类单种群动力学模型

Abstract

Abstract:

This paper considers a class of single population dynamics models for fish that incorporates seasonal switching and impulsive perturbations. It investigates the effects of these factors on fish population dynamics. By employing the discrete dynamical system theory and stroboscopic mapping, we derive the sufficient conditions for the permanence and extinction of the fish population system. Using rational difference equations and fixed point theory, we demonstrate the existence of a unique globally attractive positive periodic solution. Finally, numerical simulations are provided to validate the theoretical results.

Key words: impulsive disturbance, permanence, seasonal switching, periodic solution

CLC Number:

O175.2

Zeng Xiaping, Lu Wenwen, Pang Guoping, Liang Zhiqing. Single Population Dynamics Model of Fish with Seasonal Switching and Impulsive Perturbations[J].Acta mathematica scientia,Series A, 2025, 45(4): 1206-1216.

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References 29

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Single Population Dynamics Model of Fish with Seasonal Switching and Impulsive Perturbations

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