A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan

This work is devoted to establish a modified population model of susceptible and infected (SI) compartments to predict the spread of the infectious disease COVID-19 in Pakistan. We have formulated the model and derived its boundedness and feasibility. By using next generation matrices method we have...

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Autores principales: Arfan, Muhammad, Shah, Kamal, Abdeljawad, Thabet, Mlaiki, Nabil, Ullah, Aman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7836298/
http://dx.doi.org/10.1016/j.aej.2020.09.011
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author Arfan, Muhammad
Shah, Kamal
Abdeljawad, Thabet
Mlaiki, Nabil
Ullah, Aman
author_facet Arfan, Muhammad
Shah, Kamal
Abdeljawad, Thabet
Mlaiki, Nabil
Ullah, Aman
author_sort Arfan, Muhammad
collection PubMed
description This work is devoted to establish a modified population model of susceptible and infected (SI) compartments to predict the spread of the infectious disease COVID-19 in Pakistan. We have formulated the model and derived its boundedness and feasibility. By using next generation matrices method we have derived some results for the global and local stability of different kinds of equilibrium points. Also, by using fixed point approach some results of existence of at least one solution are studied. Furthermore, the numerical simulations for various values of isolation parameters corresponding to different fractional order are investigated by using modified Euler’s method.
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spelling pubmed-78362982021-01-26 A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan Arfan, Muhammad Shah, Kamal Abdeljawad, Thabet Mlaiki, Nabil Ullah, Aman Alexandria Engineering Journal Article This work is devoted to establish a modified population model of susceptible and infected (SI) compartments to predict the spread of the infectious disease COVID-19 in Pakistan. We have formulated the model and derived its boundedness and feasibility. By using next generation matrices method we have derived some results for the global and local stability of different kinds of equilibrium points. Also, by using fixed point approach some results of existence of at least one solution are studied. Furthermore, the numerical simulations for various values of isolation parameters corresponding to different fractional order are investigated by using modified Euler’s method. Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. 2021-02 2020-09-10 /pmc/articles/PMC7836298/ http://dx.doi.org/10.1016/j.aej.2020.09.011 Text en © 2020 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Arfan, Muhammad
Shah, Kamal
Abdeljawad, Thabet
Mlaiki, Nabil
Ullah, Aman
A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan
title A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan
title_full A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan
title_fullStr A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan
title_full_unstemmed A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan
title_short A Caputo power law model predicting the spread of the COVID-19 outbreak in Pakistan
title_sort caputo power law model predicting the spread of the covid-19 outbreak in pakistan
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7836298/
http://dx.doi.org/10.1016/j.aej.2020.09.011
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