Mathematical analysis of a tuberculosis transmission model with vaccination in an age structured population

S. L. Chasanah, D. Aldila, H. Tasman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Citations (Scopus)

Abstract

This article presents a mathematical model of Tuberculosis (TB) transmission considering BCG vaccination in an age- structured population. We used several strategies to simulate the TB dynamic and evaluate the potential impact on active TB. We developed a deterministic compartmental model where the population was distributed into seven compartments, i.e., susceptible individuals that can be vaccinated (S 1 ) and can't be vaccinated (S 2 ), vaccinated (V), slow (L) and fast (E) exposed, infectious (I), and recovery (R). The mathematical model analysis was done by determining the equilibrium points, the Basic Reproduction Number (R 0 ) of the model, and analysing the stability of the equilibrium point. Some numeric interpretations were given by sensitivity vaccination parameters and percentage vaccine protection to the value of R 0 and autonomous model simulations. We find that to reach TB free condition is not enough by maximising one of the vaccination parameters for newborn, adults or percentage vaccine protection. We also find that vaccination into the adult population is more effective to suppress TB spread rather than newborn.

Original languageEnglish
Title of host publicationProceedings of the Symposium on BioMathematics, SYMOMATH 2018
EditorsBevina Desjwiandra Handari, Hiromi Seno, Hengki Tasman
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418141
DOIs
Publication statusPublished - 22 Mar 2019
EventInternational Symposium on BioMathematics 2018, SYMOMATH 2018 - Depok, Indonesia
Duration: 31 Aug 20182 Sep 2018

Publication series

NameAIP Conference Proceedings
Volume2084
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Symposium on BioMathematics 2018, SYMOMATH 2018
CountryIndonesia
CityDepok
Period31/08/182/09/18

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