Article: Mathematical modeling of coronavirus disease COVID-19 dynamics using CF and ABC non-singular fractional derivatives.
2021 Volume 145, Page(s) 110757
Abstract: In this article, Coronavirus Disease COVID-19 transmission dynamics were studied to examine ... epidemic modeling approaches (i.e. CF and ABC fractional derivative) illustrated that, for non-integer ... the utility of the SEIR compartmental model, using two non-singular kernel fractional derivative operators ...
| Abstract | In this article, Coronavirus Disease COVID-19 transmission dynamics were studied to examine the utility of the SEIR compartmental model, using two non-singular kernel fractional derivative operators. This method was used to evaluate the complete memory effects within the model. The Caputo-Fabrizio (CF) and Atangana-Baleanu models were used predicatively, to demonstrate the possible long-term trajectories of COVID-19. Thus, the expression of the basic reproduction number using the next generating matrix was derived. We also investigated the local stability of the equilibrium points. Additionally, we examined the existence and uniqueness of the solution for both extensions of these models. Comparisons of these two epidemic modeling approaches (i.e. CF and ABC fractional derivative) illustrated that, for non-integer |
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| Language | English |
| Publishing date | 2021-02-04 |
| Publishing country | England |
| Document type | Journal Article |
| ZDB-ID | 2003919-0 |
| ISSN | 1873-2887 ; 0960-0779 |
| ISSN (online) | 1873-2887 |
| ISSN | 0960-0779 |
| DOI | 10.1016/j.chaos.2021.110757 |
| Database | MEDical Literature Analysis and Retrieval System OnLINE |
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