Abstract
In this chapter, we develop the mathematical model of four compartments including classes of susceptible, infected, recovered, and death of infected ones for the recent outbreak of a coronavirus infectious disease (COVID-19). The model is investigated for both integer-order and fractional-order derivatives. The integer-order model is analyzed for an approximate solution using the Taylor's series method along with the numerical simulation showing the validity of the obtained scheme. The fractional-order model is evaluated numerically by Euler's iterative techniques and its results are compared to that of the Taylor's series scheme. The numerical simulation is drawn against the available data at different fractional orders. The fractional-order model is also investigated for qualitative analysis using the well-known theorems of fixed-point theory. The said model is also checked for feasibility and stability by using the techniques of basic reproduction number.
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