Dynamic analysis of SIR epidemic model based on feedback control

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Abstract

In this paper, we study the SIR model and give a strategy to control the epidemic. Based on discrete-time observation, the linear control term is added and the upper bound of time delay is given in order to make the epidemic disappear. Both the deterministic and stochastic cases are considered. The novelty of this paper lies in the fact that it only controls for the infected population. Numerical examples verify the theory results.

Keywords

feedback control / SIR / extinction / stochastic models / noise

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