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

Nauman Ahmed; Nauman Ahmed; Mehreen Fatima; Dumitru Baleanu; Dumitru Baleanu; Kottakkaran Sooppy Nisar; Ilyas Khan; Muhammad Rafiq; Muhammad Aziz ur Rehman; Muhammad Ozair Ahmad

doi:10.3389/fphy.2019.00220

Frontiers in Physics (Jan 2020)

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

Nauman Ahmed,
Nauman Ahmed,
Mehreen Fatima,
Dumitru Baleanu,
Dumitru Baleanu,
Kottakkaran Sooppy Nisar,
Ilyas Khan,
Muhammad Rafiq,
Muhammad Aziz ur Rehman,
Muhammad Ozair Ahmad

Affiliations

Nauman Ahmed: Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Nauman Ahmed: Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majma'ah, Saudi Arabia
Mehreen Fatima: Department of Electrical Engineering, University of Lahore, Lahore, Pakistan
Dumitru Baleanu: Department of Mathematics, Cankaya University, Ankara, Turkey
Dumitru Baleanu: Institute of Space Sciences, Mǎgurele, Romania
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia
Ilyas Khan: Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majma'ah, Saudi Arabia
Muhammad Rafiq: Faculty of Engineering, University of Central Punjab, Lahore, Pakistan
Muhammad Aziz ur Rehman: Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Muhammad Ozair Ahmad: Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan

DOI: https://doi.org/10.3389/fphy.2019.00220
Journal volume & issue: Vol. 7

Abstract

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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.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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