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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

A Mathematical Study on Measles Disease in Pakistan

Journal of Applied Nonlinear Dynamics 15(1) (2026) 245--257 | DOI:10.5890/JAND.2026.03.014

V. Ananthaswamy$^1$, M. Shruthi$^2$

$^{1}$ Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

$^{2}$ Research Scholar, Research Centre and PG Department of Mathematics, The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India

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Abstract

This study uses actual data from Pakistan to investigate an established mathematical framework that describes the dynamics and epidemiology of measles transmission. Sanitation and immunization are taken as mitigating strategies in the model. The primary model's six components are Susceptible, Recovered, Infected, Exposed, Hospitalized, and Vaccinated that can be addressed semi-analytically using the homotopy analysis approach. To show the influence of various model parameter categories including the frequency of hospitalized persons with measles visit due to complications, rate of vaccinating susceptible class and recruitment rate into susceptible class, graphical illustrations are provided. The outcomes show that this approach is the most practical, easy to use, and efficient. A satisfactory match is obtained by comparing the findings with the numerical simulation (MATLAB). This technique will be extended to tackle epidemic models especially, SIR, SEIR, SVIR, SVEIR,SLVEIR based on malaria, chikungunya, tuberculosis, HIV, hepatitis A virus, typhoid, Ebola, Cholera etc.

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