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中文摘要：
考虑了具有饱和接触率和变化种群大小的脉冲时滞的SVEIR模型，利用离散动力系统的频闪映射，得到了无病周期解的存在性和它的精确表达式。根据比较原理，得到无病周期解全局渐近稳定的充分条件。最后，通过数值模拟解释了获得的结果。
英文摘要：
A pulse vaccination delayed SVEIR model with saturation incidence and a varying total population was proposed. Using the discrete dynamical system determined by the stroboscopic map, the existence of the disease-free periodic solution and its exact expression were obtained. Further, using the comparison theorem, the sufficient conditions for the global attractivity of the disease-free periodic solution were established. Finally, numerical simulations were carried out to explain the results obtained.
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