具有饱和发生率和时滞的脉冲 SEIR 模型分析

Analysis of Impulsive SEIR Model with Saturated Incidence and Time Delay

摘要: 研究了具有饱和发生率和时滞的脉冲 SEIR 流行病模型. 得到了流行病模型的无病周期解,同时也得到了无病周期解全局稳定的条件. 结果表明,疫苗接种率较大或脉冲时间较短或疾病的潜伏期较长是疾病根除的充分条件.

Abstract: An impulsive SEIR epidemic model with saturated incidence and time delays was formulated and studied. The infection-free periodic solution of the epidemic model was obtained，moreover, the condition for which the infection-free periodic solution is globally asymptotically stable was obtained. The results indicated that a large vaccination rate or a short period of pulsing or a long latent period of the disease was a sufficient condition for the eradication of the disease.