A chaos study of fractional SIR epidemic model of childhood diseases

Models of bio-mathematics are experimental systems that recreate aspects human tissue function, diseases or virus. In this research, a new operational matrix based on the Laguerre wavelets is introduced for arbitrary-order susceptible-infected-recovered (SIR) epidemic dynamical system childhood diseases. An exact mechanism Riemann–Liouville arbitrary integral operator explained where derivative assumed in Liouville-Caputo style. Further, we use to convert given dispute into algebraic equations. The chaotic attractors fractional-order SIR model illustrated graphically by adopting Adams–Bashforth-Moulton (ABM) scheme. Numerical simulations and results susceptible, infected recovered peoples carried out using wavelets. Their behaviour with respect time seen be key features work. Moreover, have compared wavelet solutions ABM solution truthfulness applicability