Numerical Methods for Fractal-Fractional Differential Equations and Engineering

23An SIR Epidemic Model with Fractal-Fractional Derivative

DOI: 10.1201/9781003359258-23

23.1 INTRODUCTION

In mathematical biology or disease epidemic modelling, the most important concept was the development of the SIR model. The SIR model stands for S—susceptible, IV-infected, and R—recovered or removed. This concept was introduced in 1927. Later many developments have been made by extending the work. The SIR modelling approach is now used by the researchers in many fields of science and engineering. With the concept of ordinary differential equations, the SIR-type models are numerous in literature; see, for example, [87, 136, 258] and much more. The SIR-type models extended to fractional differential equations, and later the concept of ...