Numerical analysis of fractional order epidemic model of childhood diseases
type: Item
instance of: scholarly article
title: Numerical analysis of fractional order epidemic model of childhood diseases
zbMATH Open document ID: 1397.92637
DOI: 10.1155/2017/4057089
author: G. Richomme
published in: Discrete Dynamics in Nature and Society
publication date: 2018-09-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 65L99
zbMATH DE Number: 6944821
zbMATH Keywords: fractional order epidemic model
zbMATH Keywords: childhood diseases
zbMATH Keywords: fractional differential equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4057089
OpenAlex ID: W2774698246
cites work: Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy
cites work: Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
cites work: Q4625335
cites work: Existence of positive solutions of nonlinear fractional differential equations
cites work: Boundary value problems for differential equations with fractional order and nonlocal conditions
cites work: Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method
cites work: Numerical analysis of fractional order Pine wilt disease model with bilinear incident rate
cites work: Analytical solutions of fractional order diffusion equations by natural transform method
cites work: On the convergence of Adomian decomposition method
cites work: The quadrature discretization method (QDM) in comparison with other numerical methods of solution of the Fokker-Planck equation for electron thermalization
description: scientific article; zbMATH DE number 6944821