Research output: Contribution to journal › Article › peer-review
Asymptotic properties of solutions in a model of antibacterial immune response. / Skvortsova, Maria Aleksandrovna.
In: Сибирские электронные математические известия, Vol. 15, 01.01.2018, p. 1198-1215.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Asymptotic properties of solutions in a model of antibacterial immune response
AU - Skvortsova, Maria Aleksandrovna
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In the present paper we consider a model of antibacterial immune response proposed by G.I. Marchuk. The model is described by a system of differential equations with three delays. We study the asymptotic stability of the stationary solution corresponding to a healthy organism. We obtain estimates of the attraction set of this solution and establish estimates of solutions characterizing the stabilization rate at infinity. The results are obtained using a modified Lyapunov-Krasovskii functional.
AB - In the present paper we consider a model of antibacterial immune response proposed by G.I. Marchuk. The model is described by a system of differential equations with three delays. We study the asymptotic stability of the stationary solution corresponding to a healthy organism. We obtain estimates of the attraction set of this solution and establish estimates of solutions characterizing the stabilization rate at infinity. The results are obtained using a modified Lyapunov-Krasovskii functional.
KW - Antibacterial immune response
KW - Asymptotic stability
KW - Attraction set
KW - Delay differential equations
KW - Estimates of solutions
KW - Modified Lyapunov-Krasovskii functional
UR - http://www.scopus.com/inward/record.url?scp=85074907585&partnerID=8YFLogxK
U2 - 10.17377/semi.2018.15.097
DO - 10.17377/semi.2018.15.097
M3 - Article
AN - SCOPUS:85074907585
VL - 15
SP - 1198
EP - 1215
JO - Сибирские электронные математические известия
JF - Сибирские электронные математические известия
SN - 1813-3304
ER -
ID: 22320229