Journal of Science and Technology
Vol 3, No 2: September 2023

Analisis Model Epidemi Penyebaran Tuberkulosis Dengan Struktur Umur

Erna Sari (Universitas Halu Oleo)
Asrul Sani (Universitas Halu Oleo)
Muh. Kabil Djafar (Universitas Halu Oleo)



Article Info

Publish Date
10 Oct 2023

Abstract

Tuberculosis (TBC) is a contagious disease caused by infection with the bacterium Mycobacterium tuberculosis (Mtb), which attacks the lungs. taking into account the laten period of individuals infected with tuberculosis, this study uses the SEIRS model. The total population is grouped into two age groups, group child and group adult . The purpose of this research is to determine SEIRS model of the spread tuberculosis disease with age structure and its completion behavior. The steps in analyzing of the model can be done by determining the equilibrium point, the results are obtained two equilibrium points, namely disease-free equilibrium points and endemic equilibrium points. Determine basic reproduction number and stability analysis at the equilibrium point. Analysis of the stability of the disease-free equilibrium point is carried out to find the stability of the model using linearization around the equilibrium point. The simulation result are disease-free equilibrium point is the asymptotic stable if the basic reproduction number is less than one, and it means that the disease will disappear over time, and the endemic equilibrium point is stable if the basic reproduction number is more than one, meaning there is disease spread in the population.

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Journal Info

Abbrev

jostech

Publisher

Subject

Computer Science & IT Mathematics

Description

JOSTECH focuses on the dissemination of scientific research in the field of Sains and Technology. We invite researchers, academics, practitioners to join us, submitting your original manuscripts. The JOSTECH encourages submission of the manuscript dealing with all sciences and technology aspects, ...