Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases

Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases

The fractional order Susceptible-Infected-Recovered (SIR) epidemic model of childhood disease is considered. Laplace–Adomian Decomposition Method is used to compute an approximate solution of the system of nonlinear fractional differential equations. We obtain the solutions of fractional differentia...

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Main Authors: Fazal Haq, Muhammad Shahzad, Shakoor Muhammad, Hafiz Abdul Wahab, Ghaus ur Rahman
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/4057089
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spelling doaj-5057ec70935941358c8af158df2faae92020-11-24T22:32:07ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/40570894057089Numerical Analysis of Fractional Order Epidemic Model of Childhood DiseasesFazal Haq0Muhammad Shahzad1Shakoor Muhammad2Hafiz Abdul Wahab3Ghaus ur Rahman4Department of Mathematics, Hazara University, Mansehra, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Hazara University, Mansehra, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, PakistanDepartment of Mathematics, Hazara University, Mansehra, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, PakistanThe fractional order Susceptible-Infected-Recovered (SIR) epidemic model of childhood disease is considered. Laplace–Adomian Decomposition Method is used to compute an approximate solution of the system of nonlinear fractional differential equations. We obtain the solutions of fractional differential equations in the form of infinite series. The series solution of the proposed model converges rapidly to its exact value. The obtained results are compared with the classical case.http://dx.doi.org/10.1155/2017/4057089
collection DOAJ
language English
format Article
sources DOAJ
author Fazal Haq
Muhammad Shahzad
Shakoor Muhammad
Hafiz Abdul Wahab
Ghaus ur Rahman
spellingShingle Fazal Haq
Muhammad Shahzad
Shakoor Muhammad
Hafiz Abdul Wahab
Ghaus ur Rahman
Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases
Discrete Dynamics in Nature and Society
author_facet Fazal Haq
Muhammad Shahzad
Shakoor Muhammad
Hafiz Abdul Wahab
Ghaus ur Rahman
author_sort Fazal Haq
title Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases
title_short Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases
title_full Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases
title_fullStr Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases
title_full_unstemmed Numerical Analysis of Fractional Order Epidemic Model of Childhood Diseases
title_sort numerical analysis of fractional order epidemic model of childhood diseases
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2017-01-01
description The fractional order Susceptible-Infected-Recovered (SIR) epidemic model of childhood disease is considered. Laplace–Adomian Decomposition Method is used to compute an approximate solution of the system of nonlinear fractional differential equations. We obtain the solutions of fractional differential equations in the form of infinite series. The series solution of the proposed model converges rapidly to its exact value. The obtained results are compared with the classical case.
url http://dx.doi.org/10.1155/2017/4057089
work_keys_str_mv AT fazalhaq numericalanalysisoffractionalorderepidemicmodelofchildhooddiseases
AT muhammadshahzad numericalanalysisoffractionalorderepidemicmodelofchildhooddiseases
AT shakoormuhammad numericalanalysisoffractionalorderepidemicmodelofchildhooddiseases
AT hafizabdulwahab numericalanalysisoffractionalorderepidemicmodelofchildhooddiseases
AT ghausurrahman numericalanalysisoffractionalorderepidemicmodelofchildhooddiseases
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