Abstract
In 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.
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