A semi-analytical study of a non-linear initial value problem for the measles disease model

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.
  • M Subha Department of Mathematics, Fatima College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India
  • M Shruthi Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
  • Seenith Sivasundaram College of Science, Engineering and Mathematics, Daytona Beach, Florida 321114, USA

Abstract

The measles disease dynamics are suggested in this work. Approximate analytical solutions for the four compartments namely Susceptible, Exposed, Infected, and Recovered are obtained by applying the Homotopy analysis method to solve the relevant equations. Using MATLAB software, we also give a numerical simulation of the problem. A comparison between the numerical
simulation and the approximate analytical solution reveals excellent agreement. In the Susceptible, Exposed, Infected, and Recovered compartments, a number of other parameters are also discussed and graphically displayed, such as the percentage of exposed individuals who become infectious at a constant rate, the rate constant for no disease-related death, and the percentage of infectious individuals who recover following treatment.

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Published

08/30/2025

Issue

Vol. 16 No. 3 (2025): Mathematics in Engineering, Science and Aerospace (MESA)

Section

Articles