A semi-analytical study of the SEIR model for hepatitis b disease in Ambon city

Authors

  • S. Meenakshi Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • Vembu Ananthaswamy The Madura College, Madurai, Tamil Nadu, India.
  • J Anantha Jothi Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • Seenith Sivasundaram Department of Mathematics, College of Science, Engineering and Mathematics, Daytona Beach, Florida, USA
  • V.K. Santhi PG Department of Mathematics, Sri Meenakshi Government Arts College for Women (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.

Abstract

This research analyses a prior mathematical framework that represents the epidemiology model for Hepatitis B disease in Ambon City. The relevant four compartments that constitute the framework, such as Susceptible, Exposed, Infected, as well as Recovered, are solved analytically using Homotopy analysis technique. The approximate analytical expressions for all of the four different compartments are provided. To show their effects, a variety of model parameter types are visually depicted. Tables are demonstrating the effects of the parameters on the outcomes. With this strategy, the error approximation attains relatively small values. A satisfactory fit between the numerical simulation (MATLAB) and the approximate analytical results is obtained.

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Published

11/28/2025

Issue

Vol. 16 No. 4 (2025): Mathematics in Engineering, Science and Aerospace (MESA)

Section

Articles