https://doi.org/10.1140/epjp/s13360-024-05154-7
Regular Article
Advanced mathematical modeling of hepatitis B transmission dynamics with and without diffusion effect using real data from Thailand
Department of Mathematics, Faculty of Science, King Mongkuts University of Technology, Thonburi (KMUTT), 10140, Bangkok, Thailand
Received:
19
March
2024
Accepted:
2
April
2024
Published online:
6
May
2024
This paper introduces a sophisticated reaction-diffusion mathematical model to analyze the transmission dynamics of Hepatitis B. A key aspect of this study is the computation of the basic reproduction number 
, derived through the next-generation matrix method, providing critical insights into the disease’s transmission potential. Parameter estimation is achieved using advanced least squares curve fitting, ensuring model accuracy and reliability. The model’s unique trait lies in its application of an operator splitting approach, combining finite difference and meshless methodologies, to simulate epidemic spread with and without spatial diffusion. We rigorously examine the stability of both disease-free and endemic equilibrium states, offering a comprehensive analysis of Hepatitis B (HBV) dynamics. Beyond the mathematical formulation, our study delves into the nature of HBV, acknowledging its potential to cause both chronic and acute liver damage. We propose a novel nonlinear reaction-diffusion SVEICHR model to dissect the intricate dynamics of Hepatitis B. Crucially, the paper explores effective strategies for HBV control, focusing on preventive measures like vaccination and hospitalization. The research culminates in a practical application, showcasing the effectiveness of these strategies through simulations implemented in MATLAB. This comprehensive approach not only enhances our understanding of HBV dynamics but also provides actionable strategies for its control.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
