On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease.
Adams–Bashforth (AB) method
Numerical simulations
Qualitative results
Three compartments model
Journal
Results in physics
ISSN: 2211-3797
Titre abrégé: Results Phys
Pays: Netherlands
ID NLM: 101731363
Informations de publication
Date de publication:
Dec 2020
Dec 2020
Historique:
received:
18
08
2020
revised:
12
10
2020
accepted:
12
10
2020
entrez:
1
2
2021
pubmed:
2
2
2021
medline:
2
2
2021
Statut:
ppublish
Résumé
The present paper describes a three compartment mathematical model to study the transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19). We investigate the aforesaid dynamical model by using Atangana, Baleanu and Caputo (ABC) derivative with arbitrary order. We derive some existence results together with stability of Hyers-Ulam type. Further for numerical simulations, we use Adams-Bashforth (AB) method with fractional differentiation. The mentioned method is a powerful tool to investigate nonlinear problems for their respective simulation. Some discussion and future remarks are also given.
Identifiants
pubmed: 33520616
doi: 10.1016/j.rinp.2020.103510
pii: S2211-3797(20)31962-8
pmc: PMC7834387
doi:
Types de publication
Journal Article
Langues
eng
Pagination
103510Informations de copyright
© 2020 The Authors.
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
Results Phys. 2020 Dec;19:103425
pubmed: 33014697
Chaos Solitons Fractals. 2020 Oct;139:110036
pubmed: 32834596
Chaos. 2019 Jan;29(1):013128
pubmed: 30709146
Infect Dis Model. 2020;5:282-292
pubmed: 32292868
Chaos Solitons Fractals. 2020 May;134:109761
pubmed: 32308258