Stability of Solutions of Linear Systems of Differential Equations of Population Dynamics with Variable Delay Full article
| Journal |
Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
||||
|---|---|---|---|---|---|
| Output data | Year: 2025, Volume: 35, Number: 1, Pages: 50-62 Pages count : 13 DOI: 10.1134/S1055134425010043 | ||||
| Tags | linear differential equation with variable delay, asymptotic stability, nonsingular M-matrix, dynamics of HIV-1 infection | ||||
| Authors |
|
||||
| Affiliations |
|
Funding (1)
| 1 | Russian Science Foundation | 23-11-00116 |
Abstract:
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.
Cite:
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
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
Original:
Перцев Н.В.
Устойчивость и двусторонние оценки решений линейного неавтономного дифференциального уравнения с переменным запаздыванием
Математические труды. 2025. Т.28. №1. С.134–150. DOI: 10.25205/1560-750X-2025-28-1-134-150 РИНЦ
Устойчивость и двусторонние оценки решений линейного неавтономного дифференциального уравнения с переменным запаздыванием
Математические труды. 2025. Т.28. №1. С.134–150. DOI: 10.25205/1560-750X-2025-28-1-134-150 РИНЦ
Dates:
| Submitted: | Sep 18, 2024 |
| Accepted: | Oct 30, 2024 |
| Published print: | Mar 19, 2025 |
| Published online: | Jul 4, 2025 |
Identifiers:
| Scopus: | 2-s2.0-105010118835 |
| Elibrary: | 82581687 |
| OpenAlex: | W4412028614 |
Citing:
Пока нет цитирований