一类具饱和传染率和脉冲接种的传染病模型
An Epidemic Models with Saturation Infectious Rate and Impulsive Vaccination
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摘要: 建立了一类带有脉冲接种和饱和传染率的类年龄结构SEIR流行病模型,讨论了系统无病周期解存在的条件,给出了染病再生数的表达式,证明了染病再生数小于1时,无病周期解是全局吸引的.Abstract: A class age-structured SEIR epidemic model with impulsive vaccination and saturation infectious rate was formulated. The existence of diseasefree periodic solution was discussed and the expression of infective reproductive number was obtained. It was proved that the disease-free periodic solution was globally attractive if the infective reproductive number is less than one.