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Estimates of Solutions in a Model of Antiviral Immune Response. / Skvortsova, M. A.

In: Siberian Advances in Mathematics, Vol. 33, No. 4, 12.2023, p. 353-368.

Research output: Contribution to journal › Article › peer-review

Harvard

Skvortsova, MA 2023, 'Estimates of Solutions in a Model of Antiviral Immune Response', Siberian Advances in Mathematics, vol. 33, no. 4, pp. 353-368. https://doi.org/10.1134/S1055134423040089

APA

Skvortsova, M. A. (2023). Estimates of Solutions in a Model of Antiviral Immune Response. Siberian Advances in Mathematics, 33(4), 353-368. https://doi.org/10.1134/S1055134423040089

Vancouver

Skvortsova MA. Estimates of Solutions in a Model of Antiviral Immune Response. Siberian Advances in Mathematics. 2023 Dec;33(4):353-368. doi: 10.1134/S1055134423040089

Author

Skvortsova, M. A. / Estimates of Solutions in a Model of Antiviral Immune Response. In: Siberian Advances in Mathematics. 2023 ; Vol. 33, No. 4. pp. 353-368.

BibTeX

@article{3cd7b291f9d44fadb94e98a45c1aadf1,
title = "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 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.",
keywords = "Lyapunov–Krasovskii functional, antiviral immune response model, asymptotic stability, attraction set, delay differential equations, estimates of solutions",
author = "Skvortsova, {M. A.}",
note = "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.",
year = "2023",
month = dec,
doi = "10.1134/S1055134423040089",
language = "English",
volume = "33",
pages = "353--368",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "4",

}

RIS

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 -

ID: 59542681