Fractional SIAQR model with time dependent infection rate

Abstract

AbstractIn this study we have proposed the SIAQR model with time-dependent infection rate. The model’s well-posedness is demonstrated, and the proposed model is then extended to the fractional mathematical model by employing the Caputo-Fabrizio fractional derivative operator. We have also used the Lipschitz condition and the linear growth condition to determine the conditions under which the model has a unique solution. The numerical solutions are presented. Furthermore, using graphical representations we will see how the number of infected, recovered individuals vary as the order of fractional derivative varies.

Keywords

• Primary 92B05
• 92C60
• Secondary 26A33
• Fractional derivative
• numerical solution
• SIAQR model