Dynamics of Tuberculosis: The effect of Direct Observation Therapy Strategy (DOTS) in Nigeria

DOI10.1051/mmnp:2008013zbMath1337.92212OpenAlexW2170057234MaRDI QIDQ2788442

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Publication date: 19 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2008013

zbMATH Keywords

global stabilitybasic reproduction numbermathematical modeltuberculosiscase detectionprevention and controlDOTS

Mathematics Subject Classification ID

Epidemiology (92D30) Medical applications (general) (92C50) Global stability of solutions to ordinary differential equations (34D23)

Related Items (11)

Modelling the role of diagnosis, treatment, and health education on multidrug-resistant tuberculosis dynamics ⋮ Analysis of a tuberculosis model with undetected and lost-sight cases ⋮ Epidemiological models of Mycobacterium tuberculosis complex infections ⋮ Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Lévy noise perturbation ⋮ Lyapunov functions for SIR and SIRS epidemic models ⋮ Analysis of a mathematical model for tuberculosis: what could be done to increase case detection ⋮ A mathematical model of tuberculosis transmission with heterogeneity in disease susceptibility and progression under a treatment regime for infectious cases ⋮ A mathematical analysis of a tuberculosis epidemic model with two treatments and exogenous re-infection ⋮ Mathematical analysis of a tuberculosis model with imperfect vaccine ⋮ A note on some qualitative properties of a tuberculosis differential equation model with a time delay ⋮ Lyapunov functions and global properties of some tuberculosis models

Cites Work

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• Stability by Liapunov's direct method. With applications
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• To treat or not to treat: The case of tuberculosis
• Dynamical models of tuberculosis and their applications
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Tuberculosis models with fast and slow dynamics: The role of close and casual contacts
• Modelling the human immune response mechanisms to Mycobacterium tuberculosis infection in the lungs
• The Mathematics of Infectious Diseases
• A model for tuberculosis with exogenous reinfection

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