Stability and optimal control of age‐structured cell‐free and cell‐to‐cell transmission model of HIV (Q6193102)

scientific article; zbMATH DE number 7816004

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English	Stability and optimal control of age‐structured cell‐free and cell‐to‐cell transmission model of HIV	scientific article; zbMATH DE number 7816004

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instance of

scholarly article

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title

Stability and optimal control of age‐structured cell‐free and cell‐to‐cell transmission model of HIV (English)

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published in

Mathematical Methods in the Applied Sciences

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publication date

12 March 2024

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zbMATH Keywords

age-structured population model

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antiretroviral treatment

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cell-to-cell transmission

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HIV/AIDS model

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Lyapunov function

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.9561

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cites work

A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay

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Structured population models in biology and epidemiology.

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A diffusive age-structured SEIRS epidemic model

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Semigroups of linear operators and applications to partial differential equations

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Optimal control of an age-structured model of HIV infection

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Optimal treatment in a multi-strain within-host model of HIV with age structure

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Q5858848

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Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells

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Stability of a general CTL-mediated immunity HIV infection model with silent infected cell-to-cell spread

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Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay

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Optimal harvesting for a nonlinear age-dependent population dynamics

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Stability of a general adaptive immunity HIV infection model with silent infected cell-to-cell spread

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Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission

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An HIV latent infection model with cell-to-cell transmission and stochastic perturbation

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Numerical approximation of basic reproduction number for an age‐structured HIV infection model with both virus‐to‐cell and cell‐to‐cell transmissions

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Backward bifurcation and stability analysis in a within-host HIV model with both virus-to-cell infection and cell-to-cell transmission, and anti-retroviral therapy

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Stability and dynamic of HIV-1 mathematical model with logistic target cell growth, treatment rate, cure rate and cell-to-cell spread

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Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread

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Modeling the dynamics of HIV and \(CD4^{+}\)T cells during primary infection

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MODELING THE DRUG THERAPY FOR HIV INFECTION

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A primary infection model for HIV and immune response with two discrete time delays

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A MODEL OF THE OPTIMAL IMMUNOTHERAPY OF PSORIASIS BY INTRODUCING IL-10 AND IL-22 INHIBITORS

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A control‐based mathematical study on psoriasis dynamics with special emphasis on IL−21 and IFN−γ interaction network

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Lyapunov Functions and Global Stability for Age-Structured HIV Infection Model

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A Mathematical Model of Combined Drug Therapy of HIV Infection

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6193102