{"title":"Estimates of Solutions in a Model of Antiviral Immune Response","authors":"M. A. Skvortsova","doi":"10.1134/s1055134423040089","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We consider a model of antiviral immune response suggested by G.I. Marchuk. The model\nis described by a system of differential equations with several delays. We study asymptotic\nstability for a stationary solution of the system that corresponds to a completely healthy\norganism. We estimate the attraction set of this stationary solution. We also find estimates of\nsolutions characterizing the stabilization rate at infinity. A Lyapunov–Krasovskiĭ\nfunctional is used in the proof.\n</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":"148 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Advances in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1055134423040089","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
