QUALITATIVE STUDY FOR A MULTI-DRUG RESISTANT TB MODEL WITH EXOGENOUS REINFECTION AND RELAPSE

DOI10.1142/S1793524511001763zbMath1280.92037MaRDI QIDQ5397013

Xinchun Gao, Luju Liu

Publication date: 5 February 2014

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

zbMATH Keywords

stabilitycenter manifold theoryrelapseexogenous reinfectionthe effective reproduction numberthe invasion reproduction number

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

Related Items (1)

A mathematical analysis of a tuberculosis epidemic model with two treatments and exogenous re-infection

Cites Work

• Drug resistance in tuberculosis -- a reinfection model
• Modelling the effect of tuberculosis on the spread of HIV infection in a population with density-dependent birth and death rate
• Global dynamics in a TB model incorporating case detection and two treatment stages
• A mathematical analysis of malaria and tuberculosis co-dynamics
• To treat or not to treat: The case of tuberculosis
• Dynamical models of tuberculosis and their applications
• Global dynamics of a SEIR model with varying total population size
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A non-autonomous multi-strain SIS epidemic model
• A model for tuberculosis with exogenous reinfection

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