Analysis of a COVID-19 model with nonlocal and stochastic behaviors

Abstract

Systems of nonlinear ordinary differential equations have been employed to model complex behaviors arising in many real-world problems including epidemiology, biology, and many others. Many chaotic behaviors have been modeled using these equations as well as epidemiological problems. To construct these, model differential and integral operators with local and nonlocal features have been used. However, in many instances, it was noted that models with these concepts are unable to replicate accurately complex behaviors with different patterns, thus very recently piecewise operators were suggested and applied in some problems. In this paper, we chose a system of six nonlinear different equations and applied the concept of piecewise derivative.