Аннотация
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.
| Переведенное название | Асимптотические свойства решений в модели противобактериального иммунного ответа |
|---|---|
| Язык оригинала | английский |
| Страницы (с-по) | 1198-1215 |
| Число страниц | 18 |
| Журнал | Сибирские электронные математические известия |
| Том | 15 |
| DOI | |
| Состояние | Опубликовано - 1 янв. 2018 |
Ключевые слова
- Antibacterial immune response
- Asymptotic stability
- Attraction set
- Delay differential equations
- Estimates of solutions
- Modified Lyapunov-Krasovskii functional