Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order

Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order

This article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order model. Then, Laplace-Adomian decomposition method (L-ADM) is applied to solve...

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Main Authors: Asma, Nigar Ali, Gul Zaman, Anwar Zeb, Vedat Suat Erturk, Il Hyo Jung
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/9715686
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spelling doaj-c831b04e40fd4fcdac8a5859b52ab6d12020-11-25T01:17:56ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/97156869715686Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary OrderAsma0Nigar Ali1Gul Zaman2Anwar Zeb3Vedat Suat Erturk4Il Hyo Jung5Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir(L), KPK, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir(L), KPK, PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, PakistanDepartment of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55139 Samsun, TurkeyDepartment of Mathematics, Pusan National University, Republic of KoreaThis article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order model. Then, Laplace-Adomian decomposition method (L-ADM) is applied to solve this fractional order HIV model. Moreover, the convergence of this method is also discussed. It can be observed from the numerical solution that (L-ADM) is very simple and accurate to solve fraction order HIV model.http://dx.doi.org/10.1155/2019/9715686
collection DOAJ
language English
format Article
sources DOAJ
author Asma
Nigar Ali
Gul Zaman
Anwar Zeb
Vedat Suat Erturk
Il Hyo Jung
spellingShingle Asma
Nigar Ali
Gul Zaman
Anwar Zeb
Vedat Suat Erturk
Il Hyo Jung
Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
Complexity
author_facet Asma
Nigar Ali
Gul Zaman
Anwar Zeb
Vedat Suat Erturk
Il Hyo Jung
author_sort Asma
title Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
title_short Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
title_full Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
title_fullStr Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
title_full_unstemmed Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order
title_sort dynamical analysis of approximate solutions of hiv-1 model with an arbitrary order
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description This article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order model. Then, Laplace-Adomian decomposition method (L-ADM) is applied to solve this fractional order HIV model. Moreover, the convergence of this method is also discussed. It can be observed from the numerical solution that (L-ADM) is very simple and accurate to solve fraction order HIV model.
url http://dx.doi.org/10.1155/2019/9715686
work_keys_str_mv AT asma dynamicalanalysisofapproximatesolutionsofhiv1modelwithanarbitraryorder
AT nigarali dynamicalanalysisofapproximatesolutionsofhiv1modelwithanarbitraryorder
AT gulzaman dynamicalanalysisofapproximatesolutionsofhiv1modelwithanarbitraryorder
AT anwarzeb dynamicalanalysisofapproximatesolutionsofhiv1modelwithanarbitraryorder
AT vedatsuaterturk dynamicalanalysisofapproximatesolutionsofhiv1modelwithanarbitraryorder
AT ilhyojung dynamicalanalysisofapproximatesolutionsofhiv1modelwithanarbitraryorder
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