Numerical solution of fractional order SIR model of dengue fever disease via Laplace optimized decomposition method

Banan Maayah,Samia Bushnaq, Asma Moussaoui

The journal of mathematics and computer science(2023)

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Abstract
In this research article, we handle the susceptible infected-recovered (SIR) model of the dengue fever epidemic under Caputo Fabrizio fractional derivative.The dengue fever disease is a complicated disease because of the connection it creates between humans and mosquitoes.This encouraged scientists to understand the various factors that influence the recurrence of dengue fever.A new technique called the Laplace Optimized Decomposition (LODM) is used to solve this model numerically and compared with the 4 th order Runge-Kutta Method (RKM).The solution in the proposed method is in the form of a convergent series with easily computable components.We present the solution via graphs and hence give some remarks about the nature of the solutions.
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Key words
fractional order sir model,decomposition method,dengue fever disease,numerical solution,fractional order
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