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

  • 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 diseasefree 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.

     

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