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A New Modification of the Differential Transform Method for a SIRC Influenza Model

by S. F. M. Ibrahim, S. M. Ismail
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 69 - Number 19
Year of Publication: 2013
Authors: S. F. M. Ibrahim, S. M. Ismail
10.5120/12077-8020

S. F. M. Ibrahim, S. M. Ismail . A New Modification of the Differential Transform Method for a SIRC Influenza Model. International Journal of Computer Applications. 69, 19 ( May 2013), 8-15. DOI=10.5120/12077-8020

@article{ 10.5120/12077-8020,
author = { S. F. M. Ibrahim, S. M. Ismail },
title = { A New Modification of the Differential Transform Method for a SIRC Influenza Model },
journal = { International Journal of Computer Applications },
issue_date = { May 2013 },
volume = { 69 },
number = { 19 },
month = { May },
year = { 2013 },
issn = { 0975-8887 },
pages = { 8-15 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume69/number19/12077-8020/ },
doi = { 10.5120/12077-8020 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:30:40.114380+05:30
%A S. F. M. Ibrahim
%A S. M. Ismail
%T A New Modification of the Differential Transform Method for a SIRC Influenza Model
%J International Journal of Computer Applications
%@ 0975-8887
%V 69
%N 19
%P 8-15
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, approximate analytical solution of SIRC model associated with the evolution of influenza A disease in human population is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be obtained from DTM applied to Laplace, inverse Laplace transform and padé approximant. The MDTM is used to increase the accuracy and accelerate the convergence rate of truncated series solution getting by the DTM. The analytical-numerical technique can be used in order to produce simulations with different initial conditions, parameter values for different values of the basic reproduction number.

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Index Terms

Computer Science
Information Sciences

Keywords

SIRC model Epidemic models Modified Differential transformation method padé approximants

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