A mathematical study on the transmission dynamics of Hepatitis A virus

Abstract

An analysis of an existing mathematical framework that describes the epidemiology of the Hepatitis A Virus (HAV) via dual modes of transmission is done in this paper. Sanitation and vaccination are taken into account by the model as mitigating techniques. Using the Homotopy perturbation method, the relevant six compartments like susceptible, vaccinated, latent, infectious, recovered and HAV population (S-V-L-I-R-P) of the model are solved analytically. For each of the six compartments, specific analytical formulations are provided. Several types of model parameters are illustrated graphically to demonstrate their impacts. Comparing the results with the numerical simulation (MATLAB) yields a good fit.