2024, Vol. 5, Issue 1, Part A
Analyzing hepatitis B transmission dynamics: Insights into clinical control and passive immunity strategies through mathematical modeling and simulation
Author(s): James Khobocha Mirgichan, Cyrus Gitonga Ngari, Stephen Karanja and Robert Muriungi
Abstract: Hepatitis B virus (HBV) infection remains a pressing global public health concern, particularly in underserved rural regions of low and middle-income countries. Despite the availability of therapies, the prevalence of HBV infection persists, often due to neglect in these areas. This paper addresses the complex dynamics of HBV transmission by incorporating passive immunity and clinical control interventions into a deterministic mathematical model. The model, expressed as a system of non-linear differential equations with time-dependent infection rates, reveals the intricate interplay between passive immunity and infection susceptibility among infants born to HBV-infected mothers. Through comprehensive stability analysis and numerical simulations, we illuminate the dynamics of HBV infection within populations. Sensitivity analysis identifies critical parameters that significantly influence disease transmission, including the reproduction number and strength number. By exploring the effects of these key parameters and control measures, we provide insights into potential strategies for mitigating HBV spread. The study underscores the necessity of acknowledging passive immunity and its temporal nature in HBV transmission modeling. Moreover, it highlights the importance of addressing maternal antibody protection and the implications of control measures for public health policy. Ultimately, this research contributes to our understanding of HBV transmission dynamics and offers valuable guidance for effective interventions in combating Hepatitis B, particularly in resource-constrained regions.
DOI: https://doi.org/10.22271/math.2024.v5.i1a.112
Pages: 20-37 | Views: 230 | Downloads: 109
Download Full Article: Click Here
How to cite this article:
James Khobocha Mirgichan, Cyrus Gitonga Ngari, Stephen Karanja and Robert Muriungi. Analyzing hepatitis B transmission dynamics: Insights into clinical control and passive immunity strategies through mathematical modeling and simulation. Journal of Mathematical Problems, Equations and Statistics. 2024; 5(1): 20-37. DOI: 10.22271/math.2024.v5.i1a.112
