Desimal: Jurnal Matematika
Vol 4, No 1 (2021): Desimal: Jurnal Matematika

The analysis of the sensitivity of vaccination parameters in a tuberculosis transmission model

Siti Laelatul Chasanah (Universitas Lampung)
Pandri Ferdias (Universitas Lampung)
D E Nurvazly (Universitas Lampung)



Article Info

Publish Date
25 Jan 2021

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.

Copyrights © 2021






Journal Info

Abbrev

desimal

Publisher

Subject

Education Mathematics Social Sciences

Description

Desimal: Jurnal Matematika, particularly focuses on the main issues in the development of the sciences of mathematics education, mathematics education, and applied mathematics. Desimal: Jurnal Matematika published three times a year, the period from January to April, May to Augustus, and September ...