A SIR model assumption for the spread of COVID-19 in different communities.

COVID-19 SIR model forecasting infectious disease pandemic virus spreading

Journal

Chaos, solitons, and fractals
ISSN: 0960-0779
Titre abrégé: Chaos Solitons Fractals
Pays: England
ID NLM: 100971564

Informations de publication

Date de publication:
Oct 2020
Historique:
received: 18 06 2020
accepted: 23 06 2020
entrez: 25 8 2020
pubmed: 25 8 2020
medline: 25 8 2020
Statut: ppublish

Résumé

In this paper, we study the effectiveness of the modelling approach on the pandemic due to the spreading of the novel COVID-19 disease and develop a susceptible-infected-removed (SIR) model that provides a theoretical framework to investigate its spread within a community. Here, the model is based upon the well-known susceptible-infected-removed (SIR) model with the difference that a total population is not defined or kept constant per se and the number of susceptible individuals does not decline monotonically. To the contrary, as we show herein, it can be increased in surge periods! In particular, we investigate the time evolution of different populations and monitor diverse significant parameters for the spread of the disease in various communities, represented by China, South Korea, India, Australia, USA, Italy and the state of Texas in the USA. The SIR model can provide us with insights and predictions of the spread of the virus in communities that the recorded data alone cannot. Our work shows the importance of modelling the spread of COVID-19 by the SIR model that we propose here, as it can help to assess the impact of the disease by offering valuable predictions. Our analysis takes into account data from January to June, 2020, the period that contains the data before and during the implementation of strict and control measures. We propose predictions on various parameters related to the spread of COVID-19 and on the number of susceptible, infected and removed populations until September 2020. By comparing the recorded data with the data from our modelling approaches, we deduce that the spread of COVID-19 can be under control in all communities considered, if proper restrictions and strong policies are implemented to control the infection rates early from the spread of the disease.

Identifiants

pubmed: 32834610
doi: 10.1016/j.chaos.2020.110057
pii: S0960-0779(20)30454-9
pii: 110057
pmc: PMC7321055
doi:

Types de publication

Journal Article

Langues

eng

Pagination

110057

Informations de copyright

© 2020 Elsevier Ltd. All rights reserved.

Déclaration de conflit d'intérêts

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Références

Front Med (Lausanne). 2020 May 06;7:169
pubmed: 32435645
J Thorac Dis. 2020 Mar;12(3):165-174
pubmed: 32274081
Appl Math Model. 2021 Feb;90:995-1008
pubmed: 33110288
PLoS One. 2020 Mar 31;15(3):e0230405
pubmed: 32231374
Lancet. 2020 Feb 29;395(10225):689-697
pubmed: 32014114
Math Biosci. 2020 Aug;326:108391
pubmed: 32497623
BMJ. 2020 Mar 26;368:m1251
pubmed: 32217534
Lancet Infect Dis. 2020 May;20(5):553-558
pubmed: 32171059
Nat Med. 2020 Jun;26(6):855-860
pubmed: 32322102
Chaos Solitons Fractals. 2020 May;134:109761
pubmed: 32308258
Nat Commun. 2019 Feb 22;10(1):898
pubmed: 30796206
Chaos Solitons Fractals. 2020 Jun;135:109846
pubmed: 32341628
Science. 2020 Apr 24;368(6489):395-400
pubmed: 32144116
J Clin Med. 2020 Feb 07;9(2):
pubmed: 32046137
Chaos Solitons Fractals. 2020 Jun;135:109841
pubmed: 32501369
J Med Virol. 2020 Jul;92(7):841-848
pubmed: 32243599
Annu Rev Control. 2020;50:361-372
pubmed: 33132739
Sci Rep. 2020 Apr 3;10(1):5919
pubmed: 32246023
Math Biosci. 2020 Jul;325:108378
pubmed: 32507746
Science. 2020 May 1;368(6490):493-497
pubmed: 32213647

Auteurs

Ian Cooper (I)

School of Physics, The University of Sydney, Sydney, Australia.

Argha Mondal (A)

Department of Mathematical Sciences, University of Essex, Wivenhoe Park, UK.

Chris G Antonopoulos (CG)

Department of Mathematical Sciences, University of Essex, Wivenhoe Park, UK.

Classifications MeSH