APPLICABILITY OF FRACTALS-FRACTIONAL ANALYSIS TO INVESTIGATE ROTAVIRUSES DISEASE MODEL WITH NONLINEAR INCIDENCE RATE

Abstract

Fractals and fractional analysis has attracted great attention in recent times. Due to its tremendous applications in various disciplines of science and technology, researchers have given much attention to the said area. Population dynamical systems, which describe the transmission dynamics of infectious diseases, have been studied increasingly by using the aforementioned approach. This research work aims to study the rotavirus disease model with a nonlinear incidence rate, which causes gastroenteritis transmission in the vaccinated class. For the considered study, we have used Caputo fractal fractional derivative (CFFD). Some fundamental properties and results related to the existence theory of solution have been investigated. For the mentioned analysis, fixed point theorems were used. Additionally, some numerical simulations were performed by using different values of fractal fractional orders. For the required simulation, a numerical algorithm was established.