Exploring the Dynamics of Measles Infection: A Fractional Calculus Approach to Stochastic Modeling

Year 2025, Volume: 17 Issue: 2, 378 - 395, 30.12.2025

Mehmet Akif Çetin , Seda İğret Araz

https://doi.org/10.47000/tjmcs.1696188

Abstract

This article develops and analyzes a measles infection model using fractional calculus and stochastic methods. The existence and uniqueness of solutions are proven by verifying linear growth and Lipschitz conditions. The model, formulated with the Caputo fractional derivative, is numerically solved via the Newton polynomial method. Simulations illustrate the dynamics of measles infections, offering valuable theoretical and numerical insights that enhance understanding of infectious disease modeling.

Keywords

Measles infection , fractional order , stochastic framework , Caputo fractional derivative

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