Geodesic
Estimates of solutions in a model of antiviral immune response
Matematičeskie trudy, Tome 26 (2023) no. 1, pp. 150-175

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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–Krasovskii functional is used in the proof. 
@article{MT_2023_26_1_a7,
     author = {M. A. Skvortsova},
     title = {Estimates of solutions in a model of antiviral immune response},
     journal = {Matemati\v{c}eskie trudy},
     pages = {150--175},
     publisher = {mathdoc},
     volume = {26},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2023_26_1_a7/}
}
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M. A. Skvortsova. Estimates of solutions in a model of antiviral immune response. Matematičeskie trudy, Tome 26 (2023) no. 1, pp. 150-175. http://geodesic.mathdoc.fr/item/MT_2023_26_1_a7/