Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model

Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model

In this paper, two structure-preserving nonstandard finite difference (NSFD) operator splitting schemes are designed for the solution of reaction diffusion epidemic models. The proposed schemes preserve all the essential properties possessed by the continuous systems. These schemes are applied on a...

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Main Authors: Nauman Ahmed, Mehreen Fatima, Dumitru Baleanu, Kottakkaran Sooppy Nisar, Ilyas Khan, Muhammad Rafiq, Muhammad Aziz ur Rehman, Muhammad Ozair Ahmad
Format: Article
Language:English
Published: Frontiers Media S.A. 2020-01-01
Series:Frontiers in Physics
Subjects:
splitting methods
NSFD schemes
positivity
epidemic model
stability
bifurcation value
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2019.00220/full
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spelling doaj-2590c0ec10e048b4b64920bfba0cbfd22020-11-25T01:19:34ZengFrontiers Media S.A.Frontiers in Physics2296-424X2020-01-01710.3389/fphy.2019.00220503020Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic ModelNauman Ahmed0Nauman Ahmed1Mehreen Fatima2Dumitru Baleanu3Dumitru Baleanu4Kottakkaran Sooppy Nisar5Ilyas Khan6Muhammad Rafiq7Muhammad Aziz ur Rehman8Muhammad Ozair Ahmad9Department of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majma'ah, Saudi ArabiaDepartment of Electrical Engineering, University of Lahore, Lahore, PakistanDepartment of Mathematics, Cankaya University, Ankara, TurkeyInstitute of Space Sciences, Mǎgurele, RomaniaDepartment of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi ArabiaDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majma'ah, Saudi ArabiaFaculty of Engineering, University of Central Punjab, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics and Statistics, University of Lahore, Lahore, PakistanIn this paper, two structure-preserving nonstandard finite difference (NSFD) operator splitting schemes are designed for the solution of reaction diffusion epidemic models. The proposed schemes preserve all the essential properties possessed by the continuous systems. These schemes are applied on a diffusive SEIQV epidemic model with a saturated incidence rate to validate the results. Furthermore, the stability of the continuous system is proved, and the bifurcation value is evaluated. A comparison is also made with the existing operator splitting numerical scheme. Simulations are also performed for numerical experiments.https://www.frontiersin.org/article/10.3389/fphy.2019.00220/fullsplitting methodsNSFD schemespositivityepidemic modelstabilitybifurcation value
collection DOAJ
language English
format Article
sources DOAJ
author Nauman Ahmed
Nauman Ahmed
Mehreen Fatima
Dumitru Baleanu
Dumitru Baleanu
Kottakkaran Sooppy Nisar
Ilyas Khan
Muhammad Rafiq
Muhammad Aziz ur Rehman
Muhammad Ozair Ahmad
spellingShingle Nauman Ahmed
Nauman Ahmed
Mehreen Fatima
Dumitru Baleanu
Dumitru Baleanu
Kottakkaran Sooppy Nisar
Ilyas Khan
Muhammad Rafiq
Muhammad Aziz ur Rehman
Muhammad Ozair Ahmad
Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model
Frontiers in Physics
splitting methods
NSFD schemes
positivity
epidemic model
stability
bifurcation value
author_facet Nauman Ahmed
Nauman Ahmed
Mehreen Fatima
Dumitru Baleanu
Dumitru Baleanu
Kottakkaran Sooppy Nisar
Ilyas Khan
Muhammad Rafiq
Muhammad Aziz ur Rehman
Muhammad Ozair Ahmad
author_sort Nauman Ahmed
title Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model
title_short Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model
title_full Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model
title_fullStr Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model
title_full_unstemmed Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model
title_sort numerical analysis of the susceptible exposed infected quarantined and vaccinated (seiqv) reaction-diffusion epidemic model
publisher Frontiers Media S.A.
series Frontiers in Physics
issn 2296-424X
publishDate 2020-01-01
description In this paper, two structure-preserving nonstandard finite difference (NSFD) operator splitting schemes are designed for the solution of reaction diffusion epidemic models. The proposed schemes preserve all the essential properties possessed by the continuous systems. These schemes are applied on a diffusive SEIQV epidemic model with a saturated incidence rate to validate the results. Furthermore, the stability of the continuous system is proved, and the bifurcation value is evaluated. A comparison is also made with the existing operator splitting numerical scheme. Simulations are also performed for numerical experiments.
topic splitting methods
NSFD schemes
positivity
epidemic model
stability
bifurcation value
url https://www.frontiersin.org/article/10.3389/fphy.2019.00220/full
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