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Dian Grace Ludji
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Agriculture, Biological Sciences & Forestry Humanities Astronomy Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Decision Sciences, Operations Research & Management Education Engineering Environmental Science Law, Crime, Criminology & Criminal Justice Mathematics Physics Public Health Social Sciences Other

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Journal : Math Educa Journal

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ANALISIS SENSITIVITAS PENYEBARAN PENYAKIT TUBERKULOSIS DENGAN REINFEKSI Ludji, Dian Grace
Math Educa Journal Vol 5, No 2 (2021)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/mej.v5i2.2551

Abstract

This research discusses the mathematical of Tuberculosis disease with reinfection, where there are individuals who are reinfected after undergoing treatment and are declared recover. The mathematical model used is the SEIRE model which is then searched for the equilibrium point, the basic reproduction number ( ), the stability of the equilibrium point and searched the parameter that most influences the increase in the basic reproduction number so that it is emphasized to reduce the transmission of Tuberculosis. The results showed that the SEIRE model is a mathematical model have two equilibrium points (desease free equilibrium and desease endemic equilibrium where both equilibrium poits  are locallyn stable in a constant population based on the value of each parameter used. In the SEIRE model, there are four parameters that affect the basic reproduction number, so that must be suppressed to reduce their transmission. The four parameters are transmission rate ( ),  infection rate ( ), infection rate ( ), and reinfection rate ( ).
Co-Authors Benu, Luky Wandika Buan, Febrya Chrisinta, Debora Donuata, Pujianti Bejahida Endar Nugrahani Febrya Christin Handayani Buan Fetronela Rambu Bobu Gelu, Leonard Peter Handrianus V.M. Wula Hurit, Roberta Uron Maure, Osniman Paulina Munadi Munadi Ndii, Meksianis Z Nugrahani, Endar Paian Sianturi Pakaenoni, Lusilia Dos Santos Risald Risald Simarmata, Justin Eduardo Siprianus Septian Manek Taena, Ignasia Wanty Yoseph Pius Kurniawan Kelen