%0 Journal Article
%T Analysis of SIRC model for influenza A with Caputo-Fabrizio derivative
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Hamidane, Nacira
%A Salah Derradji, Lylia
%A Aouchal, Sofiane
%D 2022
%\ 07/01/2022
%V 13
%N 2
%P 1239-1259
%! Analysis of SIRC model for influenza A with Caputo-Fabrizio derivative
%K Caputo-Fabrizio derivative
%K SIRC model
%K stability
%K fixed point theory
%K Three-step fractional Adams-Bashforth scheme
%R 10.22075/ijnaa.2022.25049.2899
%X In this manuscript, we study the fractional-order SIRC epidemiological model for influenza A in the human population in the Caputo-Fabrizio sense. The existence and uniqueness of the solution of the proposed problem are established using fixed point theory. The local stability of both disease-free equilibrium and endemic equilibrium points is investigated. Using the three-step fractional Adams-Bashforth scheme, an iterative solution of our system is generated. In the numerical simulation, many plots are given for different values of the fractional order to check the stability of equilibrium points. Also, the effect of varying some parameters of the model was presented. Furthermore, we compared our numerical solutions with those using Caputo fractional derivative model via graphical representations. The obtained results show the efficiency and accuracy of our approach.
%U https://ijnaa.semnan.ac.ir/article_6320_ec8bbc89a9d2d2f17cff4103c25522fd.pdf