An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect

An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect

In the present study, a nonlinear delayed coronavirus pandemic model is investigated in the human population. For study, we find the equilibria of susceptible-exposed-infected-quarantine-recovered model with delay term. The stability of the model is investigated using well-posedness, Routh Hurwitz c...

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Main Authors: Ali Raza, Ali Ahmadian, Muhammad Rafiq, Soheil Salahshour, Massimiliano Ferrara
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Results in Physics
Subjects:
Coronavirus
Nonlinear delay pandemic model
Reproduction number
Stability
Computer simulations
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720321811
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spelling doaj-6d3323c21f21467d96fba8b1fa3116ed2021-02-13T04:24:12ZengElsevierResults in Physics2211-37972021-02-0121103771An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effectAli Raza0Ali Ahmadian1Muhammad Rafiq2Soheil Salahshour3Massimiliano Ferrara4Department of Mathematics, National College of Business Administration and Economics Lahore, PakistanInstitute of Visual Informatics, National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia; Department of Law, Economics and Human Sciences& Decisions Lab, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy; School of Mathematical Sciences, College of Science and Technology, Wenzhou-Kean University, Wenzhou, China; Corresponding author at: Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia.Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, PakistanFaculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, TurkeyDepartment of Law, Economics and Human Sciences& Decisions Lab, University Mediterranea of Reggio Calabria, 89125 Reggio Calabria, Italy; ICRIOS-The Invernizzi Centre for Research in Innovation, Organization, Strategy and Entrepreneurship, Bocconi University, Department of Management and Technology Via Sarfatti, 25 20136 Milano MI, ItalyIn the present study, a nonlinear delayed coronavirus pandemic model is investigated in the human population. For study, we find the equilibria of susceptible-exposed-infected-quarantine-recovered model with delay term. The stability of the model is investigated using well-posedness, Routh Hurwitz criterion, Volterra Lyapunov function, and Lasalle invariance principle. The effect of the reproduction number on dynamics of disease is analyzed. If the reproduction number is less than one then the disease has been controlled. On the other hand, if the reproduction number is greater than one then the disease has become endemic in the population. The effect of the quarantine component on the reproduction number is also investigated. In the delayed analysis of the model, we investigated that transmission dynamics of the disease is dependent on delay terms which is also reflected in basic reproduction number. At the end, to depict the strength of the theoretical analysis of the model, computer simulations are presented.http://www.sciencedirect.com/science/article/pii/S2211379720321811CoronavirusNonlinear delay pandemic modelReproduction numberStabilityComputer simulations
collection DOAJ
language English
format Article
sources DOAJ
author Ali Raza
Ali Ahmadian
Muhammad Rafiq
Soheil Salahshour
Massimiliano Ferrara
spellingShingle Ali Raza
Ali Ahmadian
Muhammad Rafiq
Soheil Salahshour
Massimiliano Ferrara
An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect
Results in Physics
Coronavirus
Nonlinear delay pandemic model
Reproduction number
Stability
Computer simulations
author_facet Ali Raza
Ali Ahmadian
Muhammad Rafiq
Soheil Salahshour
Massimiliano Ferrara
author_sort Ali Raza
title An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect
title_short An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect
title_full An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect
title_fullStr An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect
title_full_unstemmed An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect
title_sort analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2021-02-01
description In the present study, a nonlinear delayed coronavirus pandemic model is investigated in the human population. For study, we find the equilibria of susceptible-exposed-infected-quarantine-recovered model with delay term. The stability of the model is investigated using well-posedness, Routh Hurwitz criterion, Volterra Lyapunov function, and Lasalle invariance principle. The effect of the reproduction number on dynamics of disease is analyzed. If the reproduction number is less than one then the disease has been controlled. On the other hand, if the reproduction number is greater than one then the disease has become endemic in the population. The effect of the quarantine component on the reproduction number is also investigated. In the delayed analysis of the model, we investigated that transmission dynamics of the disease is dependent on delay terms which is also reflected in basic reproduction number. At the end, to depict the strength of the theoretical analysis of the model, computer simulations are presented.
topic Coronavirus
Nonlinear delay pandemic model
Reproduction number
Stability
Computer simulations
url http://www.sciencedirect.com/science/article/pii/S2211379720321811
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