The SIRS Epidemic Model With Saturated Contact Rate and PulseVaccination
具饱和传染率的脉冲免疫接种SIRS模型

In this paper, uniform persistence and periodic solution of the SIRS epidemic model with saturated contact rate and pulse vaccination are discussed. Sufficient conditions for global asymptotic stability of the infection-free periodic solution and uniform persistence of this model are obtained. Using bifurcation theory the bifurcation parameter for existence of the positive periodic solution is given.