CASE DETECTION AND DIRECT OBSERVATION THERAPY STRATEGY (DOTS) IN NIGERIA: ITS EFFECT ON TB DYNAMICS

DOI10.1142/S0218339008002344zbMath1149.92019OpenAlexW2085837949MaRDI QIDQ3530567

Vincent Aihie, Daniel Okuonghae

Publication date: 20 October 2008

Published in: Journal of Biological Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218339008002344

zbMATH Keywords

controlbasic reproduction numbertuberculosisprevention

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (11)

Modeling social media addiction with case detection and treatment ⋮ Epidemiological models of Mycobacterium tuberculosis complex infections ⋮ Analysis of a co-infection model for HPV-TB ⋮ Analysis of a mathematical model for tuberculosis: what could be done to increase case detection ⋮ Backward bifurcation of an epidemiological model with saturated incidence, isolation and treatment functions ⋮ A mathematical model of tuberculosis transmission with heterogeneity in disease susceptibility and progression under a treatment regime for infectious cases ⋮ Optimal Control Measures for Tuberculosis in a Population Affected with Insurgency ⋮ Analysis of a mathematical model for tuberculosis with diagnosis ⋮ 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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• Quantifying the intrinsic transmission dynamics of tuberculosis
• To treat or not to treat: The case of tuberculosis
• Backwards bifurcations and catastrophe in simple models of fatal diseases
• 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
• A note on some qualitative properties of a tuberculosis differential equation model with a time delay
• The Mathematics of Infectious Diseases
• Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
• On the role of variable latent periods in mathematical models for tuberculosis
• A model for tuberculosis with exogenous reinfection

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