Open AccessAnalisis Kestabilan Model SITR pada Penyebaran Penyakit Hepatitis A dengan Vaksinasi
Author(s) -
Amelia Tri Rahma Sidik,
Lia Nanda Sari,
Apon Ismail
Publication year - 2022
Publication title -
research in the mathematical and natural sciences
Language(s) - English
Resource type - Journals
ISSN - 2828-6804
DOI - 10.55657/rmns.v1i1.1
Subject(s) - population , basic reproduction number , stability (learning theory) , mathematics , endemic disease , virology , medicine , disease , computer science , environmental health , machine learning
In this article, the SITR Model for the spread of Hepatitis A by Vaccination is discussed. This study aims to analyze the stability of the model for the spread of hepatitis A disease around the points, interpret the model that has been formed by performing numerical simulations, and determine the effect of vaccination and treatment on the human population infected with hepatitis A. indicated by (T1) is stable and the endemic fixed point indicated by (T2) is stable. Based on the simulation obtained from each class (S, I, T, R) for R0 1 with a basic reproduction number, it shows the population dynamics of each class (S, I, T, R) that is (0.12,0.0056,0.0053,0.85) of the total population.