An SIQR mode with impulsive vaccination and impulsive elimination

Impulsive vaccination, impulsive elimination and quarantine strategies were considered in an SIQR epidemic model. The dynamical behavior of an SIQR epidemic model was discussed both theoretically and numerically. Firstly, the disease-free T periodic solution and the basic reproductive number R0 were obtained. Secondly, the local asymptotic stability of the disease-free T periodic solution with Floquet theorem was proved and the global asymptotic stability of the disease-free T periodic solution was also proved by impulsive differential equation. Thirdly, numerical simulation was conducted to illustrate the