$Sir epidemic and predator - prey models of fractional-order$

Sir epidemic and predator - prey models of fractional-order

Recently, many deterministic mathematical models such as ordinary differential equations have been extended to fractional models, which are transformed using fractional differential equations. It was believed that these fractional models are more realistic to represent the daily life phenomena. The...

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Main Author:	Abiodun Ezekiel, Owoyemi
Format:	Thesis
Language:	English English
Published:	2018
Subjects:	QH301 Biology
Online Access:	http://eprints.uthm.edu.my/327/1/24p%20owoyemi%20abiodun%20ezekiel.pdf http://eprints.uthm.edu.my/327/2/OWOYEMI%20ABIODUN%20EZEKIEL%20WATERMARK.pdf
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spelling	my-uthm-ep.3272021-07-21T04:53:33Z Sir epidemic and predator - prey models of fractional-order 2018-07 Abiodun Ezekiel, Owoyemi QH301 Biology Recently, many deterministic mathematical models such as ordinary differential equations have been extended to fractional models, which are transformed using fractional differential equations. It was believed that these fractional models are more realistic to represent the daily life phenomena. The main focus of this report is to extend the model of a predator-prey and the SIR epidemic models to fractional model. More specifically, the fractional predator-prey model which depend on the availability of a biotic resources was discussed. On the other hand, fractional SIR epidemic model with sub-optimal immunity, nonlinear incidence and saturated recovery rate was also discussed. The fractional ordinary differential equations were defined in the sense of the Caputo derivative. Stability analysis of the equilibrium points of the models for the fractional models were analyzed. Furthermore, the Hopf bifurcation analysis of each model was investigated . The result obtained showed that the model undergo Hopf bifurcation for some values. Throughout the project, the Adams-type predictor-corrector method to obtain the numerical solutions of the fractional models was applied. All computations were done by using mathematical software, Maple 18. 2018-07 Thesis http://eprints.uthm.edu.my/327/ http://eprints.uthm.edu.my/327/1/24p%20owoyemi%20abiodun%20ezekiel.pdf text en public http://eprints.uthm.edu.my/327/2/OWOYEMI%20ABIODUN%20EZEKIEL%20WATERMARK.pdf text en validuser mphil masters Universiti Tun Hussein Onn Malaysia Faculty of Applied Sciences and Technology
institution	Universiti Tun Hussein Onn Malaysia
collection	UTHM Institutional Repository
language	English English
topic	QH301 Biology
spellingShingle	QH301 Biology Abiodun Ezekiel, Owoyemi Sir epidemic and predator - prey models of fractional-order
description	Recently, many deterministic mathematical models such as ordinary differential equations have been extended to fractional models, which are transformed using fractional differential equations. It was believed that these fractional models are more realistic to represent the daily life phenomena. The main focus of this report is to extend the model of a predator-prey and the SIR epidemic models to fractional model. More specifically, the fractional predator-prey model which depend on the availability of a biotic resources was discussed. On the other hand, fractional SIR epidemic model with sub-optimal immunity, nonlinear incidence and saturated recovery rate was also discussed. The fractional ordinary differential equations were defined in the sense of the Caputo derivative. Stability analysis of the equilibrium points of the models for the fractional models were analyzed. Furthermore, the Hopf bifurcation analysis of each model was investigated . The result obtained showed that the model undergo Hopf bifurcation for some values. Throughout the project, the Adams-type predictor-corrector method to obtain the numerical solutions of the fractional models was applied. All computations were done by using mathematical software, Maple 18.
format	Thesis
qualification_name	Master of Philosophy (M.Phil.)
qualification_level	Master's degree
author	Abiodun Ezekiel, Owoyemi
author_facet	Abiodun Ezekiel, Owoyemi
author_sort	Abiodun Ezekiel, Owoyemi
title	Sir epidemic and predator - prey models of fractional-order
title_short	Sir epidemic and predator - prey models of fractional-order
title_full	Sir epidemic and predator - prey models of fractional-order
title_fullStr	Sir epidemic and predator - prey models of fractional-order
title_full_unstemmed	Sir epidemic and predator - prey models of fractional-order
title_sort	sir epidemic and predator - prey models of fractional-order
granting_institution	Universiti Tun Hussein Onn Malaysia
granting_department	Faculty of Applied Sciences and Technology
publishDate	2018
url	http://eprints.uthm.edu.my/327/1/24p%20owoyemi%20abiodun%20ezekiel.pdf http://eprints.uthm.edu.my/327/2/OWOYEMI%20ABIODUN%20EZEKIEL%20WATERMARK.pdf
_version_	1747830583287873536

Sir epidemic and predator - prey models of fractional-order

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