Threshold conditions for global stability of disease free state of COVID-19

Threshold conditions for global stability of disease free state of COVID-19

This article focus the elimination and control of the infection caused by COVID-19. Mathematical model of the disease is formulated. With help of sensitivity analysis of the reproduction number the most sensitive parameters regarding transmission of infection are found. Consequently strategies for t...

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Main Authors: Muhammad Zamir, Kamal Shah, Fawad Nadeem, Mohd Yazid Bajuri, Ali Ahmadian, Soheil Salahshour, Massimiliano Ferrara
Format: Article
Language:English
Published: Elsevier 2021-02-01
Series:Results in Physics
Subjects:
Mathematical model
Basic reproduction number
Next generation matrix
Sensitivity analysis
Global stability
Threshold condition
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720321938
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spelling doaj-21cc26170fc84225ba6c3a2f7d846cf82021-02-13T04:24:15ZengElsevierResults in Physics2211-37972021-02-0121103784Threshold conditions for global stability of disease free state of COVID-19Muhammad Zamir0Kamal Shah1Fawad Nadeem2Mohd Yazid Bajuri3Ali Ahmadian4Soheil Salahshour5Massimiliano Ferrara6Department of Mathematics, University of Science and Technology, Bannu, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara, Dir(L), Khyber Pakhtunkhwa, Pakistan; Corresponding authors.Department of Mathematics, University of Science and Technology, Bannu, Khyber Pakhtunkhwa, PakistanDepartment of Orthopaedics and Traumatology, Faculty of Medicine, Universiti Kebangsaan Malaysia(UKM), Kuala Lumpur, MalaysiaInstitute of IR 4.0, The National University of Malaysia, 43600, UKM, Bangi, Malaysia; Corresponding authors.Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, TurkeyICRIOS – The Invernizzi Centre for Research in Innovation, Organization, Strategy and Entrepreneurship, Bocconi University, Department of Management and Technology Via Sarfatti, 25 20136 Milano (MI), ItalyThis article focus the elimination and control of the infection caused by COVID-19. Mathematical model of the disease is formulated. With help of sensitivity analysis of the reproduction number the most sensitive parameters regarding transmission of infection are found. Consequently strategies for the control of infection are proposed. Threshold condition for global stability of the disease free state is investigated. Finally, using Matlab numerical simulations are produced for validation of theocratical results.http://www.sciencedirect.com/science/article/pii/S2211379720321938Mathematical modelBasic reproduction numberNext generation matrixSensitivity analysisGlobal stabilityThreshold condition
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Zamir
Kamal Shah
Fawad Nadeem
Mohd Yazid Bajuri
Ali Ahmadian
Soheil Salahshour
Massimiliano Ferrara
spellingShingle Muhammad Zamir
Kamal Shah
Fawad Nadeem
Mohd Yazid Bajuri
Ali Ahmadian
Soheil Salahshour
Massimiliano Ferrara
Threshold conditions for global stability of disease free state of COVID-19
Results in Physics
Mathematical model
Basic reproduction number
Next generation matrix
Sensitivity analysis
Global stability
Threshold condition
author_facet Muhammad Zamir
Kamal Shah
Fawad Nadeem
Mohd Yazid Bajuri
Ali Ahmadian
Soheil Salahshour
Massimiliano Ferrara
author_sort Muhammad Zamir
title Threshold conditions for global stability of disease free state of COVID-19
title_short Threshold conditions for global stability of disease free state of COVID-19
title_full Threshold conditions for global stability of disease free state of COVID-19
title_fullStr Threshold conditions for global stability of disease free state of COVID-19
title_full_unstemmed Threshold conditions for global stability of disease free state of COVID-19
title_sort threshold conditions for global stability of disease free state of covid-19
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2021-02-01
description This article focus the elimination and control of the infection caused by COVID-19. Mathematical model of the disease is formulated. With help of sensitivity analysis of the reproduction number the most sensitive parameters regarding transmission of infection are found. Consequently strategies for the control of infection are proposed. Threshold condition for global stability of the disease free state is investigated. Finally, using Matlab numerical simulations are produced for validation of theocratical results.
topic Mathematical model
Basic reproduction number
Next generation matrix
Sensitivity analysis
Global stability
Threshold condition
url http://www.sciencedirect.com/science/article/pii/S2211379720321938
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AT kamalshah thresholdconditionsforglobalstabilityofdiseasefreestateofcovid19
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AT mohdyazidbajuri thresholdconditionsforglobalstabilityofdiseasefreestateofcovid19
AT aliahmadian thresholdconditionsforglobalstabilityofdiseasefreestateofcovid19
AT soheilsalahshour thresholdconditionsforglobalstabilityofdiseasefreestateofcovid19
AT massimilianoferrara thresholdconditionsforglobalstabilityofdiseasefreestateofcovid19
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