A simple in-host model for Mycobacterium tuberculosis that captures all infection outcomes

DOI10.1080/08898480.2015.1054220zbMath1409.92233OpenAlexW2593952389MaRDI QIDQ4628596

Yimin Du, Jane M. Heffernan, Jianhong Wu

Publication date: 14 March 2019

Published in: Mathematical Population Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/08898480.2015.1054220

zbMATH Keywords

Latin hypercube samplingtuberculosislatencyclearanceactive disease

Mathematics Subject Classification ID

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

Related Items (5)

Analysis of solutions and disease progressions for a within-host Tuberculosis model ⋮ An investigation of tuberculosis progression revealing the role of macrophages apoptosis via sensitivity and bifurcation analysis ⋮ Disease clearance of tuberculosis infection: an in-host continuous-time Markov chain model ⋮ Analysis of an in-host tuberculosis model for disease control ⋮ Bifurcation analysis for an in-host \textit{Mycobacterium tuberculosis} model

Cites Work

• Unnamed Item
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• A metapopulation model of granuloma formation in the lung during infection with Mycobacterium tuberculosis
• Quantifying the intrinsic transmission dynamics of tuberculosis
• To treat or not to treat: The case of tuberculosis
• Dynamical models of tuberculosis and their applications
• A methodology for performing global uncertainty and sensitivity analysis in systems biology
• Global stability for the SEIR model in epidemiology
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Macrophage response to \textit{Mycobacterium tuberculosis} infection
• The human immune response to \textit{Mycobacterium tuberculosis} in lung and lymph node
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
• A model for tuberculosis with exogenous reinfection

This page was built for publication: A simple in-host model for Mycobacterium tuberculosis that captures all infection outcomes