Modelling coupled within host and population dynamics of \(R_5\) and \(X_4\) HIV infection

DOI10.1007/s00285-017-1170-1zbMath1392.92105OpenAlexW3007992766WikidataQ40100082 ScholiaQ40100082MaRDI QIDQ1741903

Edna Chilenje Manda, Faraimunashe Chirove

Publication date: 10 April 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-017-1170-1

zbMATH Keywords

Langerhans cells\(\text{CD4}^+\) T-cellsCCR5 virusCXCR4 virus

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• A mathematical modelling framework for linked within-host and between-host dynamics for infections with free-living pathogens in the environment
• Stochastic model for Langerhans cells and HIV dynamics in vivo
• Coupled within-host and between-host dynamics and evolution of virulence
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• A model for coupling within-host and between-host dynamics in an infectious disease
• Linking immunological and epidemiological dynamics of HIV: the case of super-infection
• Mathematical Analysis of HIV-1 Dynamics in Vivo