MODELING THE IMPACT OF VOLUNTARY TESTING AND TREATMENT ON TUBERCULOSIS TRANSMISSION DYNAMICS

DOI10.1142/S1793524511001726zbMath1280.92038OpenAlexW2056050131MaRDI QIDQ5397010

Claver Pedzisai Bhunu, Steady Mushayabasa

Publication date: 5 February 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524511001726

zbMATH Keywords

stabilitytreatmentreproductive numberTB modelcase findings

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Related Items (1)

Modeling the effects of health education and early therapy on tuberculosis transmission dynamics

Cites Work

• Mathematical analysis of a tuberculosis model with differential infectivity
• Tuberculosis transmission model with chemoprophylaxis and treatment
• The differential infectivity and staged progression models for the transmission of HIV
• Dynamical models of tuberculosis and their applications
• Influence of backward bifurcation on interpretation of \(R_0\) in a model of epidemic tuberculosis with reinfection
• Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Lyapunov functions for tuberculosis models with fast and slow progression
• A model for tuberculosis with exogenous reinfection

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