Chaos Analysis and Control for a Class of SIR Epidemic Model with Seasonal Fluctuation
International Journal of Biomathematics
Epidemic model, Differential-algebraic system, Seasonal fluctuation, Chaos, Tracking control
In this paper, the problems of chaos and chaos control for a class of susceptible-infected-removed (SIR) epidemic model with seasonal fluctuation are investigated. The seasonality in outbreak is natural among infectious diseases, as the common influenza, A type H1N1 influenza and so on. It is shown that there exist chaotic phenomena in the epidemic model. Furthermore, the tracking control method is used to control chaotic motions in the epidemic model. A feedback controller is designed to achieve tracking of an ideal output. Thus, the density of infected individuals can converge to zero, in other words, the disease can be disappeared. Finally, numerical simulations illustrate that the controller is effective
Zhang, Yi; Zhang, Qingling L.; Zhang, Fuzhen; and Bai, Fenglan, "Chaos Analysis and Control for a Class of SIR Epidemic Model with Seasonal Fluctuation" (2013). Mathematics Faculty Articles. 37.