TY - JOUR

T1 - Estimates of Solutions in a Model of Antiviral Immune Response

AU - Skvortsova, M. A.

N1 - The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project no. FWNF-2022-0008). Публикация для корректировки.

PY - 2023/12

Y1 - 2023/12

N2 - We consider a model of antiviral immune response suggested by G.I. Marchuk. The modelis described by a system of differential equations with several delays. We study asymptoticstability for a stationary solution of the system that corresponds to a completely healthyorganism. We estimate the attraction set of this stationary solution. We also find estimates ofsolutions characterizing the stabilization rate at infinity. A Lyapunov–Krasovskiĭfunctional is used in the proof.

AB - We consider a model of antiviral immune response suggested by G.I. Marchuk. The modelis described by a system of differential equations with several delays. We study asymptoticstability for a stationary solution of the system that corresponds to a completely healthyorganism. We estimate the attraction set of this stationary solution. We also find estimates ofsolutions characterizing the stabilization rate at infinity. A Lyapunov–Krasovskiĭfunctional is used in the proof.

KW - Lyapunov–Krasovskii functional

KW - antiviral immune response model

KW - asymptotic stability

KW - attraction set

KW - delay differential equations

KW - estimates of solutions

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85179722294&origin=inward&txGid=577a2131218a90d2bcb9c0c49cad4444

UR - https://www.mendeley.com/catalogue/79aaaa48-dcab-390b-965d-7608297d44a1/

U2 - 10.1134/S1055134423040089

DO - 10.1134/S1055134423040089

M3 - Article

VL - 33

SP - 353

EP - 368

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 4

ER -