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Estimates of solutions for a biological model Научная публикация

Журнал

Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126

Вых. Данные

Год: 2022, Том: 32, Номер: 4, Страницы: 310-327 Страниц : 18 DOI: 10.1134/S105513442204006X

Ключевые слова

asymptotic stability; attraction set; delay differential equations; equilibrium points; estimates of solutions; Lyapunov–Krasovskiĭ functional; model of immune response in plants

Авторы

Skvortsova M.A. ¹

Организации

1	Sobolev Institute of Mathematics

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0008

We consider a model of immune response in plants described by a nonlinear system of delay differential equations. The delay parameter is responsible for the ripening time of the plant tissue. Asymptotic properties of solutions to this system are studied in case of infection. Conditions for the asymptotic stability of the equilibrium point corresponding to the infected plant are obtained, estimates for the attraction set of this equilibrium point are given, and estimates of solutions characterizing the stabilization rate at infinity are established. All values present in the estimates are expressed explicitly in terms of the coefficients of the system. The results are obtained using Lyapunov–Krasovskiĭ functionals.

Skvortsova M.A.
Estimates of solutions for a biological model
Siberian Advances in Mathematics. 2022. V.32. N4. P.310-327. DOI: 10.1134/S105513442204006X Scopus РИНЦ OpenAlex

Скворцова М.А.
Оценки решений для одной биологической модели
Математические труды. 2022. Т.25. №1. С.152-176. DOI: 10.33048/mattrudy.2022.25.107 РИНЦ

Поступила в редакцию:	10 мар. 2022 г.
Принята к публикации:	12 мая 2022 г.
Опубликована в печати:	16 дек. 2022 г.
Опубликована online:	16 дек. 2022 г.

Scopus:	2-s2.0-85144123968
РИНЦ:	59537347
OpenAlex:	W4311897263

БД	Цитирований
Scopus	2
OpenAlex	2
РИНЦ	2