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      Impact of quarantine on fractional order dynamical model of Covid-19

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          Abstract

          In this paper, a Covid-19 dynamical transmission model of a coupled non-linear fractional differential equation in the Atangana-Baleanu Caputo sense is proposed. The basic dynamical transmission features of the proposed system are briefly discussed. The qualitative as well as quantitative results on the existence and uniqueness of the solutions are evaluated through the fixed point theorem. The Ulam-Hyers stability analysis of the suggested system is established. The two-step Adams-Bashforth-Moulton (ABM) numerical method is employed to find its numerical solution. The numerical simulation is performed to accesses the impact of various biological parameters on the dynamics of Covid-19 disease.

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          New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model

          Abdon Atangana, Dumitru Baleanu (2016)
          Article 0 comments Cited 602 times – based on 0 reviews     Review now
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            Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.

            P van den Driessche, James Watmough (2002)
            A precise definition of the basic reproduction number, R0, is presented for a general compartmental disease transmission model based on a system of ordinary differential equations. It is shown that, if R0 1, then it is unstable. Thus, R0 is a threshold parameter for the model. An analysis of the local centre manifold yields a simple criterion for the existence and stability of super- and sub-threshold endemic equilibria for R0 near one. This criterion, together with the definition of R0, is illustrated by treatment, multigroup, staged progression, multistrain and vector-host models and can be applied to more complex models. The results are significant for disease control.
            Article 0 comments Cited 517 times – based on 0 reviews     Review now
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              Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

              Muhammad Khan, Abdon Atangana (2020)
              The present paper describes the mathematical modeling and dynamics of a novel corona virus (2019-nCoV). We describe the brief details of interaction among the bats and unknown hosts, then among the peoples and the infections reservoir (seafood market). The seafood marked are considered the main source of infection when the bats and the unknown hosts (may be wild animals) leaves the infection there. The purchasing of items from the seafood market by peoples have the ability to infect either asymptomatically or symptomatically. We reduced the model with the assumptions that the seafood market has enough source of infection that can be effective to infect people. We present the mathematical results of the model and then formulate a fractional model. We consider the available infection cases for January 21, 2020, till January 28, 2020 and parameterized the model. We compute the basic reproduction number for the data is R 0 ≈ 2.4829 . The fractional model is then solved numerically by presenting many graphical results, which can be helpful for the infection minimization.
              Article 0 comments Cited 286 times – based on 0 reviews     Review now
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                Author and article information

                Journal
                Journal ID (nlm-ta): Comput Biol Med
                Journal ID (iso-abbrev): Comput Biol Med
                Title: Computers in Biology and Medicine
                Publisher: The Author(s). Published by Elsevier Ltd.
                ISSN (Print): 0010-4825
                ISSN (Electronic): 1879-0534
                Publication date PMC-release: 9 November 2022
                Publication date (Print): December 2022
                Publication date (Electronic): 9 November 2022
                Volume: 151
                Page: 106266
                Affiliations
                [a ]Baba Ghulam Shah Badshah University Rajouri, 185234, India
                [b ]School of Information Technology, Halmstad University, Sweden
                [c ]Future Technology Research Center, College of Future, National Yunlin University of Science and Technology, Douliou, Taiwan, ROC
                [d ]School of Electronic and Communication, Shri Mata Vaishno Devi University, Katra, 182320, India
                [e ]Ajeenka D Y University, Pune, Maharashtra, India
                [f ]iNurture Education Solutions Pvt. Ltd., Bangalore, India
                [g ]Yangtze Delta Region Institute (Quzhou), University of Electronic Science and Technology of China, Quzhou, 324000, China
                [h ]Department of Nephrology, The Affiliated Wuxi People’s Hospital of Nanjing Medical University, 214023, Wuxi, China
                Author notes
                [* ]Corresponding authors.
                Article
                Publisher Item ID: S0010-4825(22)00974-X Publisher ID: 106266
                DOI: 10.1016/j.compbiomed.2022.106266
                PMC ID: 9660264
                SO-VID: c77eced5-7ea4-4e72-990b-0557c04ae3a3
                Copyright © © 2022 The Author(s)
                License:

                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.

                History
                Date received : 29 August 2022
                Date revision received : 12 October 2022
                Date accepted : 30 October 2022
                Categories
                Subject: Article

                Keywords: equilibria points,existence and uniqueness,ulam–hyers stability,numerical simulations
                Data availability:
                Keywords: equilibria points, existence and uniqueness, ulam–hyers stability, numerical simulations

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