Analysis and Simulation of SEIRS model for Hepatitis B

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Syafruddin Side, Muhammad Abdy, Wahidah Sanusi

2020 Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019 Conference paper Cited by 0 Quartile

Abstract

This study discusses the process of the SEIRS model on the spread for Hepatitis B. The mathematical model of the SEIRS for Hapatitis B is a model by dividing the population class into four variables namely Susceptible-Exposed-Infected-Recovered-Suspected (SEIRS) which is a four-dimensional nonlinear differential equation system. The model obtained analysed and simulated using data assuming the initial values of variables and parameters and processed using Maple Software. The results of this study provide a SEIRS model of the spread of Hepatitis B. Simulation results also provide predictions of the number of cases for Hepatitis B sufferers who can be a preventative solution., both free disease and endemic cases for Hepatitis B. If the basic reproduction number, R0 > 1, the hepatitis B disease becomes endemic and if the basic reproduction number R0 < 1, the hepatitis B disease will disappear by itself or free disease. Copyright © 2020 EAI

Affiliations

Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Makassar, Daeng Tata St, Parang Tambung, Tamalate, Sulawesi Selatan, Kota Makassar, 90224, Indonesia