Estimates of solutions in a model of antiviral immune response

M. A. Skvortsova

Matematičeskie trudy, Tome 26 (2023) no. 1, pp. 150-175.

Résumé

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.

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