SEIRS model and simulation for Hepatitis B
Syafruddin Side 1 , Muhammad Abdy 1 , and Wahidah Sanus 1
1Department of Mathematics, Faculty of Mathematics and Natural Sciences,Universitas Negeri Makassar
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 analyzed and simulated using data assuming the initial values of variables and parameters and processed using Maple Software. The simulation results provide predictions of the number of Hepatitis B sufferers who can be a preventative solution. If R0>1 , the hepatitis B disease becomes endemic and if R0>=1, the hepatitis B disease will disappear by itself.
Keywords: Hepatitis B, SEIRS Model, Endemic and free disease
Topic: Mathematics