一类时滞家蝇模型的Hopf分岔分析

Int. J. Bifurc. Chaos Pub Date : 2023-07-01 DOI:10.1142/s0218127423501067

Xiaoyuan Chang, Xu Gao, Jimin Zhang

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摘要

本文分析了时滞家蝇模型的振荡动力学。通过分析模型的特征值分布和Lyapunov-LaSalle不变性原理，得到了模型在非负平衡点处的局部稳定性和全局稳定性，模型经历了超临界Hopf分岔和瞬态振荡。基于Wu的全局Hopf分岔理论，在一定条件下建立了全局分岔的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hopf Bifurcation Analysis of a Housefly Model with Time Delay

The oscillatory dynamics of a delayed housefly model is analyzed in this paper. The local and global stabilities at the non-negative equilibria are obtained via analyzing the distribution of eigenvalues and Lyapunov–LaSalle invariance principle, and the model undergoes the supercritical Hopf bifurcation and the transient oscillation. Based on Wu’s global Hopf bifurcation theory, the existence of the global bifurcation is established under certain conditions.

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Int. J. Bifurc. Chaos

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