$A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease$
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A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease

The susceptible-infected-recovered (SIR) epidemic model of childhood disease is analyzed in the present framework with the help of q-homotopy analysis transform method (q-HATM). The considered model consists the system of three differential equations having fractional derivative, and the non-linear...

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Autores principales:	P. Veeresha, Esin Ilhan, D.G. Prakasha, Haci Mehmet Baskonus, Wei Gao
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Caputo fractional derivative Laplace transform Susceptible-infected-recovered epidemic model q-homotopy analysis method Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/8f9f822a8e1e4e1db4e76d6bbc84582b
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spelling	oai:doaj.org-article:8f9f822a8e1e4e1db4e76d6bbc84582b2021-11-20T04:56:14ZA new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease1110-016810.1016/j.aej.2021.07.015https://doaj.org/article/8f9f822a8e1e4e1db4e76d6bbc84582b2022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004841https://doaj.org/toc/1110-0168The susceptible-infected-recovered (SIR) epidemic model of childhood disease is analyzed in the present framework with the help of q-homotopy analysis transform method (q-HATM). The considered model consists the system of three differential equations having fractional derivative, and the non-linear system exemplifies the evolution of childhood disease in a population and its influence on the community with susceptible, infected and recovered compartment. The projected method is a mixture of q-homotopy analysis method and Laplace transform. Two distinct explanatory cases are considered, and corresponding simulations have been demonstrated in terms of plots for different value of the order. The present investigation elucidates that the projected both derivative and technique play a vital role in the analysis and illustrate the behaviour of diverse mathematical models described with differential equations in human disease.P. VeereshaEsin IlhanD.G. PrakashaHaci Mehmet BaskonusWei GaoElsevierarticleCaputo fractional derivativeLaplace transformSusceptible-infected-recovered epidemic modelq-homotopy analysis methodEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1747-1756 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Caputo fractional derivative Laplace transform Susceptible-infected-recovered epidemic model q-homotopy analysis method Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Caputo fractional derivative Laplace transform Susceptible-infected-recovered epidemic model q-homotopy analysis method Engineering (General). Civil engineering (General) TA1-2040 P. Veeresha Esin Ilhan D.G. Prakasha Haci Mehmet Baskonus Wei Gao A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease
description	The susceptible-infected-recovered (SIR) epidemic model of childhood disease is analyzed in the present framework with the help of q-homotopy analysis transform method (q-HATM). The considered model consists the system of three differential equations having fractional derivative, and the non-linear system exemplifies the evolution of childhood disease in a population and its influence on the community with susceptible, infected and recovered compartment. The projected method is a mixture of q-homotopy analysis method and Laplace transform. Two distinct explanatory cases are considered, and corresponding simulations have been demonstrated in terms of plots for different value of the order. The present investigation elucidates that the projected both derivative and technique play a vital role in the analysis and illustrate the behaviour of diverse mathematical models described with differential equations in human disease.
format	article
author	P. Veeresha Esin Ilhan D.G. Prakasha Haci Mehmet Baskonus Wei Gao
author_facet	P. Veeresha Esin Ilhan D.G. Prakasha Haci Mehmet Baskonus Wei Gao
author_sort	P. Veeresha
title	A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease
title_short	A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease
title_full	A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease
title_fullStr	A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease
title_full_unstemmed	A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease
title_sort	new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/8f9f822a8e1e4e1db4e76d6bbc84582b
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A new numerical investigation of fractional order susceptible-infected-recovered epidemic model of childhood disease

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