Mathematical analysis of an extended SEIR model of COVID-19 using the ABC-fractional operator.
Math Comput Simul
; 198: 65-84, 2022 Aug.
Article
em En
| MEDLINE
| ID: mdl-35194306
ABSTRACT
This paper aims to suggest a time-fractional S P E P I P A I P S P H P R P model of the COVID-19 pandemic disease in the sense of the Atangana-Baleanu-Caputo operator. The proposed model consists of six compartments susceptible, exposed, infected (asymptomatic and symptomatic), hospitalized and recovered population. We prove the existence and uniqueness of solutions to the proposed model via fixed point theory. Furthermore, a stability analysis in the context of Ulam-Hyers and the generalized Ulam-Hyers criterion is also discussed. For the approximate solution of the suggested model, we use a well-known and efficient numerical technique, namely the Toufik-Atangana numerical scheme, which validates the importance of arbitrary order derivative Ï and our obtained theoretical results. Finally, a concise analysis of the simulation is proposed to explain the spread of the infection in society.
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Tipo de estudo:
Prognostic_studies
Idioma:
En
Revista:
Math Comput Simul
Ano de publicação:
2022
Tipo de documento:
Article
País de afiliação:
Tailândia