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All Journal Research in the Mathematical and Natural Sciences
Ismail, Apon
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Computer Science & IT Education Mathematics

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Analisis Kestabilan Model SITR pada Penyebaran Penyakit Hepatitis A dengan Vaksinasi Sidik, Amelia Tri Rahma; Sari, Lia Nanda; Ismail, Apon
Research in the Mathematical and Natural Sciences Vol. 1 No. 1 (2022): November 2021-April 2022
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (347.934 KB) | DOI: 10.55657/rmns.v1i1.1

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.
Co-Authors Sari, Lia Nanda Sidik, Amelia Tri Rahma