Analisis Kestabilan Model Epidemik SIR untuk Penyakit Tuberkulosis

A’maludin, Habib and Faruk, Alfensi and Cahyono, Endro Setyo Analisis Kestabilan Model Epidemik SIR untuk Penyakit Tuberkulosis. In: Semirata BKS PTN MIPA Wilayah Barat 2016, 22-24 May 2016, Palembang.

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    Abstract

    Tuberculosis is one of the infectious diseases that caused by Mycobacterium tuberculosis (Mtb). The aim of this research is to analyze the stability of the Susceptible Infected Recovered (SIR) model for tuberculosis transmission. We firstly constructed the epidemic SIR model and afterwards derived disease- free equilibrium,endemic equilibrium, and the basic reproduction number. Based on the analysis, both disease- free equilibrium and endemic equilibrium for the developed SIR model were stable.Finally, a numerical example was also given in support of the result.

    Item Type: Conference or Workshop Item (Paper)
    Subjects: Q Science > QA Mathematics
    Divisions: Faculty of Mathematics and Natural Sciences > Department of Mathematics
    Depositing User: Alfensi Faruk
    Date Deposited: 15 Dec 2016 11:42
    Last Modified: 15 Dec 2016 11:42
    URI: http://eprints.unsri.ac.id/id/eprint/6890

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