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All Journal Desimal: Jurnal Matematika
D E Nurvazly
Universitas Lampung
Education Mathematics Social Sciences

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The analysis of the sensitivity of vaccination parameters in a tuberculosis transmission model Siti Laelatul Chasanah; Pandri Ferdias; D E Nurvazly
Desimal: Jurnal Matematika Vol 4, No 1 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (457.377 KB) | DOI: 10.24042/djm.v4i1.7116

Abstract

Tuberculosis (TB) is one of the most dangerous infectious diseases that caused 1,5 million people died from TB in 2018 (including 251.000 people with HIV). As the preventive strategy for the spread of TB, we can use BCG vaccination. This study aims to investigate and analyze the sensitivity of vaccination parameters (to newborns and adults). This model divided the human population into five classes: susceptible , vaccinated , high-risk  and low-risk  latent, and infectious . Analysis of the mathematical model was discussed by finding the existence and analyzing the model equilibrium's stability based on the Basic Reproduction Number ( ).  Furthermore, we determined the sensitivity analysis of the proportion of vaccine and other parameters that affect the TB transmission model. The numerical experiment shows that vaccination to adults more effective than newborns.
Co-Authors Pandri Ferdias Siti Laelatul Chasanah