Analisis Kestabilan Model Epidemik SIR untuk Penyakit Tuberkulosis
| Main Authors: | A’maludin, Habib , Faruk, Alfensi, Cahyono, Endro Setyo |
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| Format: | Proceeding PeerReviewed application/pdf |
| Subjects: | |
| Online Access: |
http://eprints.unsri.ac.id/6890/1/Amaludin_et_al_(2016).pdf http://semirata2016.mipa.unsri.ac.id/ http://eprints.unsri.ac.id/6890/ |
Daftar Isi:
- 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.