Analysis of Dynamical Behavior for Epidemic Disease COVID-19 with Application

In this paper, we will use the differential equations of SIR model as a non-linear system, by using Runge-Kutta numerical method to calculate simulated values for known epidemiological diseases related time series including epidemic disease COVID-19, obtain hypothetical results and compare them with dailyreal statisticals counties world know behavior through mathematical applications, in terms stability well chaos many applied methods. The data was obtained Matlab programms, compared between real datd were compatible degree closeness. took Italy an application. shows that is unstable, dissipative chaotic, Kcorr it equal (0.9621), ,also power spectrum system used indicator clarify disease, these proves spread,outbreaks,chaotic .