Open AccessAnalysis of TB epidemic model with relapse and treatment
Author(s) -
Sutimin Sutimin,
Ratna Herdiana,
Robertus Heri Soelistyo Utomo,
A. H. Permatasari
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1918/4/042030
Subject(s) - chemoprophylaxis , tuberculosis , disease , medicine , demography , pathology , sociology
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.