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

Volume 32, Issue 1, pp 86--93 http://dx.doi.org/10.22436/jmcs.032.01.08

Publication Date: July 31, 2023 Submission Date: February 24, 2023 Revision Date: April 21, 2023 Accteptance Date: July 01, 2023

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Authors

B. Maayah - Department of Mathematics, Faculty of Science, The University of Jordan, 11942, Amman, Jordan. S. Bushnaq - Department of Basic Sciences, Princess Sumaya University for Technology, 11941, Amman, , Jordan. A. Moussaoui - Department of Mathematics, Faculty of Science, The University of Jordan, 11942, Amman, Jordan.

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\(^{\rm th}\) 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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Keywords

• Laplace optimized decomposition method (LODM)
• Caputo Fabrizio fractional derivative (CFFD)
• dengue fever epidemic model

MSC

•  49M27
•  44A10
•  26A33
•  92D30

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