论文标题

抗病毒免疫反应模型中溶液的估计值

Estimates of solutions in a model of antiviral immune response

论文作者

Skvortsova, M. A.

论文摘要

我们考虑了G.I.作品中提出的抗病毒免疫反应模型。马尔克克。该模型由延迟微分方程的系统描述。研究了对应于完全健康生物的系统的固定溶液的渐近稳定性。获得给定固定溶液的吸引力集的估计值,并建立了表征无穷大稳定速率的解决方案的估计值。结果是使用Lyapunov-Krasovskii功能获得的。

We consider a model of antiviral immune response proposed in the works of G.I. Marchuk. The model is described by a system of delay differential equations. The asymptotic stability of a stationary solution to the system corresponding to a completely healthy organism is studied. Estimates of the attraction set of the given stationary solution are obtained and estimates of solutions characterizing the stabilization rate at infinity are established. The results are obtained using the Lyapunov-Krasovskii functional.

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