Study of global dynamics of COVID-19 via a new mathematical model

Study of global dynamics of COVID-19 via a new mathematical model

The theme of this paper focuses on the mathematical modeling and transmission mechanism of the new Coronavirus shortly noted as (COVID-19), endangering the lives of people and causing a great menace to the world recently. We used a new type epidemic model composed on four compartments that is suscep...

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Main Authors: Rahim ud Din, Aly R. Seadawy, Kamal Shah, Aman Ullah, Dumitru Baleanu
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Results in Physics
Subjects:
Mathematical modeling
Convex incidence rate
Basic reproduction number
Stability
COVID-19
Disease-free equilibrium
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720319264
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spelling doaj-bc476910d50440e69d1d23ad45456d342020-12-25T05:08:38ZengElsevierResults in Physics2211-37972020-12-0119103468Study of global dynamics of COVID-19 via a new mathematical modelRahim ud Din0Aly R. Seadawy1Kamal Shah2Aman Ullah3Dumitru Baleanu4Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Statistics, Taibah University, Medina, Saudi Arabia; Corresponding author.Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Cankaya University, Ankara, Turkey; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan; Institute of Space Sciences, 077125 Magurele, RomaniaThe theme of this paper focuses on the mathematical modeling and transmission mechanism of the new Coronavirus shortly noted as (COVID-19), endangering the lives of people and causing a great menace to the world recently. We used a new type epidemic model composed on four compartments that is susceptible, exposed, infected and recovered (SEIR), which describes the dynamics of COVID-19 under convex incidence rate. We simulate the results by using nonstandard finite difference method (NSFDS) which is a powerful numerical tool. We describe the new model on some random data and then by the available data of a particular regions of Subcontinents.http://www.sciencedirect.com/science/article/pii/S2211379720319264Mathematical modelingConvex incidence rateBasic reproduction numberStabilityCOVID-19Disease-free equilibrium
collection DOAJ
language English
format Article
sources DOAJ
author Rahim ud Din
Aly R. Seadawy
Kamal Shah
Aman Ullah
Dumitru Baleanu
spellingShingle Rahim ud Din
Aly R. Seadawy
Kamal Shah
Aman Ullah
Dumitru Baleanu
Study of global dynamics of COVID-19 via a new mathematical model
Results in Physics
Mathematical modeling
Convex incidence rate
Basic reproduction number
Stability
COVID-19
Disease-free equilibrium
author_facet Rahim ud Din
Aly R. Seadawy
Kamal Shah
Aman Ullah
Dumitru Baleanu
author_sort Rahim ud Din
title Study of global dynamics of COVID-19 via a new mathematical model
title_short Study of global dynamics of COVID-19 via a new mathematical model
title_full Study of global dynamics of COVID-19 via a new mathematical model
title_fullStr Study of global dynamics of COVID-19 via a new mathematical model
title_full_unstemmed Study of global dynamics of COVID-19 via a new mathematical model
title_sort study of global dynamics of covid-19 via a new mathematical model
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2020-12-01
description The theme of this paper focuses on the mathematical modeling and transmission mechanism of the new Coronavirus shortly noted as (COVID-19), endangering the lives of people and causing a great menace to the world recently. We used a new type epidemic model composed on four compartments that is susceptible, exposed, infected and recovered (SEIR), which describes the dynamics of COVID-19 under convex incidence rate. We simulate the results by using nonstandard finite difference method (NSFDS) which is a powerful numerical tool. We describe the new model on some random data and then by the available data of a particular regions of Subcontinents.
topic Mathematical modeling
Convex incidence rate
Basic reproduction number
Stability
COVID-19
Disease-free equilibrium
url http://www.sciencedirect.com/science/article/pii/S2211379720319264
work_keys_str_mv AT rahimuddin studyofglobaldynamicsofcovid19viaanewmathematicalmodel
AT alyrseadawy studyofglobaldynamicsofcovid19viaanewmathematicalmodel
AT kamalshah studyofglobaldynamicsofcovid19viaanewmathematicalmodel
AT amanullah studyofglobaldynamicsofcovid19viaanewmathematicalmodel
AT dumitrubaleanu studyofglobaldynamicsofcovid19viaanewmathematicalmodel
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