具有饱和发生率的脉冲接种SIR传染病模型

Pulse Vaccination of a SIR Epidemic Model with Saturated Incidence

针对一类具有垂直感染和饱和发病率的脉冲接SIR传染病模型,研究了模型无病周期解的存在性及其稳定性,得到无病周期解的全局稳定性和模型一致持久性的条件,并对结果进行了数值模拟,验证了结论的正确性,同时给出模型中的参数对疾病传播的影响.

This paper studies a class of pulse vaccination of a SIR epidemic model with vertical transmission saturated incidence. We study model with the existence and stability of the disease-free periodic solution, find the conditions of global stability of the disease-free periodic solution and the uniform persistence, and carry on the numerical simulation to verify the correctness of the conclusion. At the same time, we give parameters in the model for the influence of spread the disease.