Analisis Kestabilan Model SITR pada Penyebaran Penyakit Hepatitis A dengan Vaksinasi

Amelia Tri Rahma  Sidik; Lia Nanda  Sari; Apon Ismail

doi:10.55657/rmns.v1i1.1

Authors

Amelia Tri Rahma Sidik Jurusan Matematika, Universitas Negeri Gorontalo, Bone Bolango 96119, Indonesia
Lia Nanda Sari Jurusan Matematika, Universitas Negeri Gorontalo, Bone Bolango 96119
Apon Ismail Jurusan Matematika, Universitas Negeri Gorontalo, Bone Bolango 96119, Indonesia

DOI:

https://doi.org/10.55657/rmns.v1i1.1

Keywords:

SITR models, Fixed Point Stability, Hepatitis, Vaccination

Abstract

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, it shows that the population dynamics is (0.13,0,0,0.87) of the total population. Meanwhile, 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.

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