A semi-analytical study on Hepatitis A virus transmission in Indonesia

A mathematical layout that depicts the epidemiology of Hepatitis A (HA) in Indonesia is analysed in the present research. The framework's specific four compartments -Susceptible, Individuals, Treatment, and Recovered are resolved approximate analytically through the Laplace Adomian decomposition technique (LADM) and Taylor series method (TSM). For each of the four compartments, the approximate analytical answers are stated. The outcomes of multiple kinds of model parameters are demonstrated graphically. The numerical simulation (MATLAB) and our approximate analytical outcomes are contrasted and provided in the table. The approximate analytical outcomes and the numerical simulation fit each other precisely.

کلیدواژه ها:

Hepatitis A virus (HAV) ، SITR model ، Non-linear initial value problem ، Laplace Adomian decomposition method (LADM) ، Taylors series method (TSM) ، Numerical simulation