Wahyudin Nur, M. Magfirah, Darmawati Darmawati, A. Ansar
{"title":"Stability Analysis of Tuberculosis SITS Model","authors":"Wahyudin Nur, M. Magfirah, Darmawati Darmawati, A. Ansar","doi":"10.31605/jomta.v2i2.874","DOIUrl":null,"url":null,"abstract":"Tuberculosis (TB) is an infectious disease caused by mycobacterium tuberculosis. The purpose of this study is to investigate the dynamics of TB spread by using mathematical model. We develop SITS model which expressed as system of differential equations. The system has two equilibrium points, namely disease-free equilibrium point and endemic equilibrium point. The stability condition of the equilibrium points is proved. We perform several numerical simulations to support our theoretical results.","PeriodicalId":400972,"journal":{"name":"Journal of Mathematics : Theory and Application","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics : Theory and Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31605/jomta.v2i2.874","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Tuberculosis (TB) is an infectious disease caused by mycobacterium tuberculosis. The purpose of this study is to investigate the dynamics of TB spread by using mathematical model. We develop SITS model which expressed as system of differential equations. The system has two equilibrium points, namely disease-free equilibrium point and endemic equilibrium point. The stability condition of the equilibrium points is proved. We perform several numerical simulations to support our theoretical results.