An investigation on transmission and control of fractional-order hepatitis B model

-, Deepak; Yadav, Lokesh Kumar; Gour, Murli Manohar; Purohit, Sunil Dutt

doi:10.22124/jmm.2026.31885.2878

An investigation on transmission and control of fractional-order hepatitis B model

Articles in Press

Document Type : Research Article

Authors

¹ Department of Mathematics, Vivekananda Global University Jaipur

² Department of Mathematics, Vivekananda Global University Jaipur, India

³ Rajasthan Technical University, Kota

10.22124/jmm.2026.31885.2878

Abstract

Mathematical models are useful for understanding and managing infectious diseases. They assist researchers and public health personnel in decision-making by providing data, evaluating the impact of interventions, and estimating the spread of diseases. The main objective of the present work is to provide an in-depth analysis of the transmission and control of a hepatitis B model under the Caputo fractional derivative, including both qualitative and semi-analytical investigations. Fixed-point theory is employed to establish the conditions for the existence and uniqueness of solutions to the proposed model. The obtained solutions are graphically simulated using MATLAB.
The physical significance of this study lies in its ability to capture memory effects and long-term dependencies in the transmission dynamics of the hepatitis B model, which cannot be explained by classical models. The results provide valuable insights for designing effective disease-control strategies and contribute to the advancement of fractional epidemiological modeling, with potential applications in public health policy and clinical research.

Keywords