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Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity - MaRDI portal

Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity (Q2694095)

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English	Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity	scientific article

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scholarly article

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Stability analysis of general delayed HTLV-I dynamics model with mitosis and CTL immunity (English)

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Mathematical Biosciences and Engineering

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publication date

28 March 2023

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zbMATH Keywords

HTLV-I infection

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global stability

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mitotic transmission

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CTL immunity

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time delays

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Lyapunov functional

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/mbe.2022593

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Mathematical analysis of the global dynamics of a HTLV-I infection model, considering the role of cytotoxic T-lymphocytes

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Modeling the T-cell dynamics and pathogenesis of HTLV-I infection

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Backward bifurcation in a model for HTLV-I infection of CD4\(^{+}\) T cells

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The complete classification for global dynamics of a model for the persistence of HTLV-I infection

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Modelling the role of tax expression in HTLV-I persistence in vivo

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Global stability and periodic solution of a model for HTLV-I infection and ATL progression

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Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression

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HTLV-I infection: A dynamic struggle between viral persistence and host immunity

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Rich dynamics in a delayed HTLV-I infection model: stability switch, multiple stable cycles, and torus

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Multistability in a model for CTL response to HTLV-I infection and its implications to HAM/TSP development and prevention

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Stable and transient periodic oscillations in a mathematical model for CTL response to HTLV-I infection

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Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection

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Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response

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Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment

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Global stability of a delayed HTLV-I infection model with a class of nonlinear incidence rates and CTLs immune response

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Viral dynamics of an HTLV-I infection model with intracellular delay and CTL immune response delay

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Dynamics analysis of an HTLV‐1 infection model with mitotic division of actively infected cells and delayed CTL immune response

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Backward bifurcation of an HTLV-I model with immune response

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GLOBAL DYNAMICS OF A REACTION AND DIFFUSION MODEL FOR AN HTLV-I INFECTION WITH MITOTIC DIVISION OF ACTIVELY INFECTED CELLS

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Stability of HIV/HTLV‐I co‐infection model with delays

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Global dynamics of a HTLV-I infection model with CTL response

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Dynamics of an HTLV-I infection model with delayed CTLs immune response

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A mathematical model of HTLV-I infection with two time delays

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Global asymptotic properties of virus dynamics models with dose-dependent parasite reproduction and virulence and non-linear incidence rate

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Threshold behavior in a stochastic HTLV‐I infection model with CTL immune response and regime switching

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Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}\) T-cells

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Introduction to functional differential equations

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Modeling and analysis of a within-host HIV/HTLV-I co-infection

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Permanence and positive periodic solution for a single-species nonautonomous delay diffusive models

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Global properties of basic virus dynamics models

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Global properties of infectious disease models with nonlinear incidence

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Global stability of humoral immunity virus dynamics models with nonlinear infection rate and removal

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Dynamics of HIV infection of CD4\(^ +\) T cells

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A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells

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Oscillatory viral dynamics in a delayed HIV pathogenesis model

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Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision

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Heterogeneous population dynamics of active particles: Progression, mutations, and selection dynamics

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/MBE.2022593

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Sitelinks

Mathematics(1 entry)

mardi Publication:2694095

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