Global dynamics of a class of HIV-1 infection models with latently infected cells

DOI10.15388/NA.2015.1.2zbMath1416.92172OpenAlexW2966632042MaRDI QIDQ4967995

Zhaowei Wang, Rui Xu, Hui Chen, Hai-Bin Wang

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2015.1.2

zbMATH Keywords

global stabilityHIV-1 infection modelnonlinear infection rateLaSalle's invariance principle

Mathematics Subject Classification ID

Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23)

Related Items (10)

Spatiotemporal dynamics for a diffusive HIV-1 infection model with distributed delays and CTL immune response ⋮ Periodic Solutions of an Infected-Age Structured HIV Model with the Latent Factor and Different Transmission Modes ⋮ Global dynamics of an age-structured HIV infection model incorporating latency and cell-to-cell transmission ⋮ Dynamics and optimal control of a spatial diffusion HIV/AIDS model with antiretrovial therapy and pre‐exposure prophylaxis treatments ⋮ Effect of cellular reservoirs and delays on the global dynamics of HIV ⋮ Dynamics of a diffusive viral model with Beddington-DeAngelis incidence rate and CTL immune response ⋮ Stability and Hopf bifurcation of a delayed virus infection model with latently infected cells and Beddington–DeAngelis incidence ⋮ Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China ⋮ Hopf bifurcation in a CTL-inclusive HIV-1 infection model with two time delays ⋮ Modeling the dynamics of viral–host interaction during treatment of productively infected cells and free virus involving total immune response

Cites Work

• Global properties of basic virus dynamics models
• A study of latency, reactivation and apoptosis throughout HIV pathogenesis
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Global stability and periodic solution of the viral dynamics
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Global properties of a class of virus infection models with multitarget cells
• Global stability and periodic solution of a model for HIV infection of CD4\(^{+}\) T cells
• Global properties of infectious disease models with nonlinear incidence
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Non-linear incidence and stability of infectious disease models
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