Реферат: We study stability of the trivial equilibrium of certain compartment and stage-dependent models of population dynamics that are based on linear differential equations with variable delay. We use the method of monotone operators and properties of M-matrices and establish sufficient conditions for asymptotic stability of the trivial equilibrium of systems of such equations. We consider a linear model of dynamics of HIV-1 infection in the body of an infected person. We find sufficient conditions for asymptotic stability of the trivial solution of the model of dynamics of HIV-1 infection. The obtained relations between parameters of the model are interpreted as conditions for eradication of HIV-1 infection due to nonspecific factors of the immune system.

Библиографическая ссылка: Pertsev N.V.
Stability of Solutions of Linear Systems of Differential Equations of Population Dynamics with Variable Delay
Siberian Advances in Mathematics. 2025. V.35. N1. P.50-62. DOI: 10.1134/S1055134425010043 Scopus РИНЦ OpenAlex

Оригинальная: Перцев Н.В.
Устойчивость решений линейных систем дифференциальных уравнений динамики популяций с переменным запаздыванием
Математические труды. 2024. Т.27. №3. С.74–98. DOI: 10.25205/1560-750X-2024-27-3-74-98 РИНЦ

Даты:

Поступила в редакцию:	18 сент. 2024 г.
Принята к публикации:	30 окт. 2024 г.
Опубликована в печати:	19 мар. 2025 г.
Опубликована online:	4 июл. 2025 г.

Идентификаторы БД:

Scopus:	2-s2.0-105010118835
РИНЦ:	82581687
OpenAlex:	W4412028614

Цитирование в БД: Пока нет цитирований

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