具有时滞与饱和发生率的脉冲接种模型的研究
Study on a pulse vaccination model with delay and saturation incidence
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摘要: 研究了一类具有时滞与饱和发生率的SIR脉冲接种模型,利用频闪映射得到了模型的无病周期解,进而利用比较原理给出了无病周期解全局稳定的条件及疾病控制的最大接种周期τmax,当接种周期τ<τmax时,理论上疾病可以被根除.该脉冲接种模型相比较传统的接种模型,所需成本更低,且更加有效.Abstract: A delay SIR pulse vaccination model with saturation incidence was studied.The periodic infec-tion free solution of the epidemic model by using stroboscopic map was obtained.Further,using floquet theorem and comparison theorem it was proved that the periodic infection free solution was globally attractive under appreciation conditions.In order to eradicate the disease by pulse vaccination,the maximum vaccination period max was shown.Theoretical results showed that pulse vaccination was more effective than conventional strategies in leading to disease eradication at relatively low values of vaccination.
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