Viral in-host infection model with two state-dependent delays: stability of continuous solutions
From MaRDI portal
Publication:5858513
DOI10.21136/MB.2020.0028-19zbMath1488.92065MaRDI QIDQ5858513
Kateryna Fedoryshyna, Alexander V. Rezounenko
Publication date: 13 April 2021
Published in: Mathematica Bohemica (Search for Journal in Brave)
Cites Work
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- Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays
- Stability of a viral infection model with state-dependent delay, CTL and antibody immune responses
- Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response
- A condition on delay for differential equations with discrete state-dependent delay
- Modeling the adaptive immune response in HBV infection
- Delay differential equations: with applications in population dynamics
- Global stability of a five-dimensional model with immune responses and delay
- Dynamics of a HIV-1 infection model with cell-mediated immune response and intracellular delay
- Killer cell dynamics. Mathematical and computational approaches to immunology.
- Non-linear partial differential equations with discrete state-dependent delays in a metric space
- Differential equations with discrete state-dependent delay: Uniqueness and well-posedness in the space of continuous functions
- Global properties for virus dynamics model with Beddington-DeAngelis functional response
- A two-body problem of classical electrodynamics: the one-dimensional case
- Theory of functional differential equations. 2nd ed
- The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
- Delay equations. Functional-, complex-, and nonlinear analysis
- Global properties of infectious disease models with nonlinear incidence
- Local properties of solutions to non-autonomous parabolic PDEs with state-dependent delays
- Dynamics of a delay differential equation model of hepatitis B virus infection
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Continuous solutions to a viral infection model with general incidence rate, discrete state-dependent delay, CTL and antibody immune responses
- A class of delayed viral models with saturation infection rate and immune response
- Using Lyapunov Functions to Construct Lyapunov Functionals for Delay Differential Equations
- Global stability of the virus dynamics model with Crowley-Martin functional response