Tensor: Pure and Applied Mathematics Journal
Vol 6 No 1 (2025): Tensor: Pure and Applied Mathematics Journal

Modeling the Spread of Hepatitis B Disease from the SEIR Model in East Java Using RKF 45

Na'malia, sakinun (Unknown)
Faisol, Faisol (Unknown)
Yulianto, Tony (Unknown)



Article Info

Publish Date
08 Sep 2025

Abstract

Hepatitis B is an infectious disease that has a major impact on public health, especially in East Java Province with a high prevalence of cases. This study aims to model the spread of Hepatitis B using the SEIR model (Susceptible, Exposed, Infected, Recovered) and solved numerically with the Runge-Kutta Fehlberg method (RKF45). Simulation results for 10 years showed that the susceptible population decreased from to individuals, while the exposed compartment increased from to . The infected population peaked at around individuals in year 2 and decreased to individuals, while the cured population continued to increase until it reached at the end of the period. The SEIR model with the RKF45 method proved effective in describing the dynamics of the spread of Hepatitis B mathematically and can be utilized as a predictive tool in supporting public health policy.

Copyrights © 2025






Journal Info

Abbrev

tensor

Publisher

Subject

Computer Science & IT Mathematics

Description

Tensor: Pure and Applied Mathematics Journal is an international academic open access journal that gains a foothold in the field of mathematics and its applications which is issued twice a year. The focus is to publish original research and review articles on all aspects of both pure and applied ...