Global stability analysis of the equilibrium of an improved time-delayed dynamic model to describe the development of T cells in the thymus

DOI10.2298/FIL1702347LzbMath1488.34453OpenAlexW2417954060MaRDI QIDQ5005478

No author found.

Publication date: 10 August 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1702347l

zbMATH Keywords

time delayLyapunov functionalglobal asymptotic stabilityquasi-steady-state approximationT cell

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Stationary solutions of functional-differential equations (34K21)

Related Items (2)

Desired clustering of genetic regulatory networks with mixed delays ⋮ On asymptotic stability of a class of time–delay systems

Cites Work

• Unnamed Item
• Global properties of basic virus dynamics models
• Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
• Improved exponential stability analysis for delayed recurrent neural networks
• Delay differential equations: with applications in population dynamics
• Global asymptotic stability of a nonlinear time-delayed system of \(T\) cells in the thymus
• Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
• Global properties for virus dynamics model with Beddington-DeAngelis functional response
• Complete global stability for an SIR epidemic model with delay - distributed or discrete
• Introduction to functional differential equations
• Global behavior of an SEIRS epidemic model with time delays
• An algebraic approach to proving the global stability of a class of epidemic models
• Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
• Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays
• An improved model of T cell development in the thymus and its stability analysis
• New absolute stability criteria for time-delay Lur'e systems with sector-bounded nonlinearity
• Convergence results in SIR epidemic models with varying population sizes
• GLOBAL DYNAMICS OF A DELAYED HIV-1 INFECTION MODEL WITH ABSORPTION AND SATURATION INFECTION
• A Lyapunov functional for a system with a time-varying delay

This page was built for publication: Global stability analysis of the equilibrium of an improved time-delayed dynamic model to describe the development of T cells in the thymus