Application of differential equations with variable delay in the compartmental models of living systems

DOI10.33048/SIBJIM.2021.24.305OpenAlexW3212198288WikidataQ115222218 ScholiaQ115222218MaRDI QIDQ5882915

Nikolay Viktorovitch Pertsev

Publication date: 29 March 2023

Published in: Sibirskii zhurnal industrial'noi matematiki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjim1142

zbMATH Keywords

asymptotic stabilitycompartmental modelHIV-1 infectionpositive systemnonsingular M-matrixlinear differential equations with variable delaysystem of Wazewski equations

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Positive control/observation systems (93C28)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of HIV infection in lymphoid tissue network
• Stability of solutions of autonomous Ważewski systems with delayed action
• Volterra integral equations
• Compartmental systems with pipes
• Theory of functional differential equations. 2nd ed
• Parametrization of pharmacokinetic models for analysis of control processes in an organism
• Global solvability and estimates of solutions to the Cauchy problem for the retarded functional differential equations that are used to model living systems
• Construction of the Lyapunov-Krasovskii functionals for some classes of positive delay systems
• Nonlinear effects in the dynamics of HIV-1 infection predicted by mathematical model with multiple delays
• Pump eflciency of Lymphatic vessels: numeric estimation
• Two-sided estimates for solutions to the Cauchy problem for Wazewski linear differential systems with delay
• Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations
• Nonoscillation Theory of Functional Differential Equations with Applications
• Некоторые точные решения задачи о течении жидкости в сокращающемся эластичном сосуде