艾滋病毒感染四维模型的轨迹行为

Pub Date : 2023-12-29 DOI:10.1134/s00122661230110022

A. N. Kanatnikov, O. S. Tkacheva

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引用次数: 0

摘要

摘要研究了人体免疫缺陷病毒与人体免疫系统之间相互作用的模型。分析了系统状态空间中的均衡及其稳定性，并构建了轨迹的最终边界。研究证明，无病平衡的局部渐近稳定性等同于其全局渐近稳定性。证明了稳定性的丧失是由跨临界分岔引起的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Behavior of Trajectories of a Four-Dimensional Model of HIV Infection

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Behavior of Trajectories of a Four-Dimensional Model of HIV Infection

Abstract

A model of interaction between the human immunodeficiency virus and the human immune system is considered. Equilibria in the state space of the system and their stability are analyzed, and the ultimate bounds of the trajectories are constructed. It has been proved that the local asymptotic stability of the equilibrium corresponding to the absence of disease is equivalent to its global asymptotic stability. The loss of stability is shown to be caused by a transcritical bifurcation.

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