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

Document Type : Research Article

Authors

A. Maheswari ¹

V. Ananthaswamy ²

J. Anantha Jothi ²

¹ Department of Mathematics, Velammal College of Engineering and Technology, Madurai, Tamil Nadu, India.

² Research Centre and PG, Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.

10.22067/ijnao.2026.97008.1804

Abstract

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.

Keywords

Hepatitis A virus (HAV)

SITR model

Non-linear initial value problem

Laplace Adomian decomposition method (LADM)

Taylors series method (TSM)

Numerical simulation

Subjects

• Modeling and Simulation

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