tetano
Editor, Senior Moderator
Chaos Solitons Fractals
. 2021 Mar 20;110859.
doi: 10.1016/j.chaos.2021.110859. Online ahead of print.
A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel
Ahmed Boudaoui[SUP] 1 [/SUP], Yacine El Hadj Moussa[SUP] 2 [/SUP], Zakia Hammouch[SUP] 3 4 5 [/SUP], Saif Ullah[SUP] 6 [/SUP]
Affiliations
Abstract
In this paper, we investigate an epidemic model of the novel coronavirus disease or COVID-19 using the Caputo-Fabrizio derivative. We discuss the existence and uniqueness of solution for the model under consideration, by using the the PicardLindel?f theorem. Further, using an efficient numerical approach we present an iterative scheme for the solutions of proposed fractional model. Finally, many numerical simulations are presented for various values of the fractional order to demonstrate the impact of some effective and commonly used interventions to mitigate this novel infection. From the simulation results we conclude that the fractional order epidemic model provides more insights about the disease dynamics.
Keywords: 26A33; 65D05; 65R20; 93E24; COVID-19 pandemic; Caputo-Fabrizio fractional derivative; Epidemic model; Existence and uniqueness; Isolation; Numerical simulation; Quarantine.
. 2021 Mar 20;110859.
doi: 10.1016/j.chaos.2021.110859. Online ahead of print.
A fractional-order model describing the dynamics of the novel coronavirus (COVID-19) with nonsingular kernel
Ahmed Boudaoui[SUP] 1 [/SUP], Yacine El Hadj Moussa[SUP] 2 [/SUP], Zakia Hammouch[SUP] 3 4 5 [/SUP], Saif Ullah[SUP] 6 [/SUP]
Affiliations
- PMID: 33776249
- PMCID: PMC7980231
- DOI: 10.1016/j.chaos.2021.110859
Abstract
In this paper, we investigate an epidemic model of the novel coronavirus disease or COVID-19 using the Caputo-Fabrizio derivative. We discuss the existence and uniqueness of solution for the model under consideration, by using the the PicardLindel?f theorem. Further, using an efficient numerical approach we present an iterative scheme for the solutions of proposed fractional model. Finally, many numerical simulations are presented for various values of the fractional order to demonstrate the impact of some effective and commonly used interventions to mitigate this novel infection. From the simulation results we conclude that the fractional order epidemic model provides more insights about the disease dynamics.
Keywords: 26A33; 65D05; 65R20; 93E24; COVID-19 pandemic; Caputo-Fabrizio fractional derivative; Epidemic model; Existence and uniqueness; Isolation; Numerical simulation; Quarantine.