Sliding Mode Control Method of Epidemiological Model Based on Vaccination Strategy
To achieve real-time dynamic control of epidemiological models,this paper proposed a susceptible-exposed-quarantined-infected-recovered(SEQIR)epidemiological model with a control input(vaccine administration)and applied sliding mode control to regulate its vaccination rate.Firstly,a dynamic analysis was conducted on the SEQIR model.Subsequently,a sliding surface and corresponding control law were designed for the epidemic model to facilitate the movement and convergence of the system state to the sliding surface,effectively alleviating the chattering phenomenon.Notably,this sliding mode control strategy exhibited robustness against parameter uncertainties and disturbances.In addition,stability analysis of the closed-loop system was performed using the Lyapunov's second method.The experimental results demonstrated that sliding mode control could dynamically and rapidly regulate the spread of the epidemic.Vaccination played a significant role in slowing down the transmission speed and scale of the epidemic,thereby reducing the risk of outbreaks.The findings indicated that sliding mode control strategies could be applied to epidemiological models for timely and effective disease control,with vaccination being an essential and effective measure.
epidemiological modelvaccinationsliding mode controlchatteringstability analysisLyapunov's second methodnumerical simulation
万方数据
维普
