The main purpose of this paper is to develop and analyse a fractional SIQR epidemic model with Caputo-Fabrizio derivative. It is shown that the model to have a disease-free and an endemic equilibrium point. Some conditions are derived for the existence and stability of these equilibrium points. Finally, three-step fractional Adams-Bashforth method applied to the model and some numerical simulations are illustrate the results.
Akrami, M. H. (2023). Analysis of a fractional SIQR model with Caputo-Fabrizio derivative. Caspian Journal of Mathematical Sciences, 12(2), 406-422. doi: 10.22080/cjms.2023.25253.1652
MLA
Mohammad Hossein Akrami. "Analysis of a fractional SIQR model with Caputo-Fabrizio derivative", Caspian Journal of Mathematical Sciences, 12, 2, 2023, 406-422. doi: 10.22080/cjms.2023.25253.1652
HARVARD
Akrami, M. H. (2023). 'Analysis of a fractional SIQR model with Caputo-Fabrizio derivative', Caspian Journal of Mathematical Sciences, 12(2), pp. 406-422. doi: 10.22080/cjms.2023.25253.1652
VANCOUVER
Akrami, M. H. Analysis of a fractional SIQR model with Caputo-Fabrizio derivative. Caspian Journal of Mathematical Sciences, 2023; 12(2): 406-422. doi: 10.22080/cjms.2023.25253.1652