Analysis of TB epidemic model with relapse and treatment

Tuberculosis (TB) is an infectious disease becoming a serious health problem that causes mortality and morbidity. A model of Tuberculosis spread by incorporating the effect of relapse and susceptible from recovery individuals, as well as treatment is studied. The existence of endemic equilibrium is...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-06, Vol.1918 (4), p.42030
Main Authors: Sutimin, Herdiana, R, Utomo, R H S, Permatasari, A H
Format: Article
Language:English
Subjects:
Disease control
Equilibrium
Infectious diseases
Physics
Tuberculosis
Unity
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Summary:Tuberculosis (TB) is an infectious disease becoming a serious health problem that causes mortality and morbidity. A model of Tuberculosis spread by incorporating the effect of relapse and susceptible from recovery individuals, as well as treatment is studied. The existence of endemic equilibrium is shown through the basic reproduction ratio. The analysis results show that the non endemic equilibrium is global stable if the ratio value is less than unity, the endemic equilibrium the global stable if the ratio value is greater than unity. The results of study show that the relapse factor affects in the decrease of healthy individuals, and treatment of chemoprophylaxis is more significant in preventing the spread of TB disease compared to therapy.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1918/4/042030