SEIRI Model analysis using the mathematical graph as a solution for Hepatitis B disease in Makassar

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S. Side, M. Abdy, F. Arwadi, W. Sanusi

2021 Journal of Physics: Conference Series Vol. 1899 Issue 1 Conference paper Cited by 7 Quartile

Abstract

The research objective were to build a mathematical model for Hepatitis B; Determine and analyse the equilibrium point of the model; Conduct a model simulation to predict the number of Hepatitis B cases and determine the solution for the spread of Hepatitis B in Makassar City. This research stage examines and builds a mathematical model on the spread of Hepatitis B which is a Susceptible-Exposed-Infected-Recovered-Infected (SEIRI) model; analysis of SEIRI model in Hepatitis B using mathematical Graph method; Model simulation using Maple Software with data assuming the number of Hepatitis B cases, then perform further analysis of the model. The result obtained is the SEIRI model for the spread of Hepatitis B, which is a non-linear differential equation model with 4 dimensions. Mathematical graph is used to determine the status of Hepatitis B, which is a disease-free or endemic case. © 2021 Published under licence by IOP Publishing Ltd.

Affiliations

Department of Mathematics, Mathematics and Natural Science Faculty, Universitas Negeri Makassar, Indonesia