Numerical approximation of modified non-linear SIR model of computer viruses

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1. Verfasser:	Noeiaghdam, Samad
Format:	Preprint
Veröffentlicht:	2019
Schlagworte:	Systems and Control
Online-Zugang:	Acceder al recurso
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author	Noeiaghdam, Samad
author_facet	Noeiaghdam, Samad
contents	In this paper, the non-linear modified epidemiological model of computer viruses is illustrated. For this aim, two semi-analytical methods, the differential transform method (DTM) and the Laplace-Adomian decomposition method (LADM) are applied. The numerical results are estimated for different values of iterations and compared to the results of the LADM and the homotopy analysis transform method (HATM). Also, graphs of residual errors and phase portraits of approximate solutions for $n=5,10,15$ are demonstrated. The numerical approximations show the performance of the LADM in comparison to the LADM and the HATM.
format	Preprint
id	arxiv_https___arxiv_org_abs_1901_10804
institution	arXiv
publishDate	2019
record_format	arxiv
spellingShingle	Numerical approximation of modified non-linear SIR model of computer viruses Noeiaghdam, Samad Systems and Control In this paper, the non-linear modified epidemiological model of computer viruses is illustrated. For this aim, two semi-analytical methods, the differential transform method (DTM) and the Laplace-Adomian decomposition method (LADM) are applied. The numerical results are estimated for different values of iterations and compared to the results of the LADM and the homotopy analysis transform method (HATM). Also, graphs of residual errors and phase portraits of approximate solutions for $n=5,10,15$ are demonstrated. The numerical approximations show the performance of the LADM in comparison to the LADM and the HATM.
title	Numerical approximation of modified non-linear SIR model of computer viruses
topic	Systems and Control
url	https://arxiv.org/abs/1901.10804

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