抗病毒免疫反应模型中的解决方案估算

Siberian Advances in Mathematics Pub Date : 2023-12-14 DOI:10.1134/s1055134423040089

M. A. Skvortsova

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引用次数: 0

摘要

摘要我们考虑了 G.I. Marchuk 提出的抗病毒免疫反应模型。该模型由一个具有多个延迟的微分方程系统描述。我们研究了与完全健康生物体相对应的系统静止解的渐近稳定性。我们估计了该静止解的吸引集。我们还找到了表征无穷大时稳定率的解的估计值。证明中使用了 Lyapunov-Krasovskiĭ 函数。

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Estimates of Solutions in a Model of Antiviral Immune Response

Abstract

We consider a model of antiviral immune response suggested by G.I. Marchuk. The model is described by a system of differential equations with several delays. We study asymptotic stability for a stationary solution of the system that corresponds to a completely healthy organism. We estimate the attraction set of this stationary solution. We also find estimates of solutions characterizing the stabilization rate at infinity. A Lyapunov–Krasovskiĭ functional is used in the proof.

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.