Local stability analysis for tuberculosis epidemic model with different infection stages and treatments

Tuberculosis has been an endemic disease leading to high level of mortality. A model of TB epidemic incorporating the asymptomatic and symptomatic infection stages of individuals are studied and introducing treatments for these stages. The local behavior of the model is analyzed using linearization...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-07, Vol.1943 (1), p.12120
Main Authors: Lestari, N A, Sutimin, Khabibah, S, Utomo, R H S, Herdiana, R, Permatasari, A H
Format: Article
Language:English
Subjects:
Asymptomatic
Epidemics
Infections
Mathematical models
Stability analysis
Tuberculosis
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Summary:Tuberculosis has been an endemic disease leading to high level of mortality. A model of TB epidemic incorporating the asymptomatic and symptomatic infection stages of individuals are studied and introducing treatments for these stages. The local behavior of the model is analyzed using linearization for non endemic equilibrium and using bifurcation at R 0 = 1 for endemic equilibrium. Non endemic state and endemic state are proven locally asymptotically stable. Numerical simulations show the effectiveness of treatment in asymptomatic and symptomatic infection stages can reduce the rate of spread of TB.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1943/1/012120