具饱和传染率的脉冲免疫接种SIRS模型

庞国萍;陈兰荪

系统科学与数学 ›› 2007, Vol. 27 ›› Issue (4) : 563-572.

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中国科学院数学与系统科学研究院期刊网
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系统科学与数学 ›› 2007, Vol. 27 ›› Issue (4) : 563-572. DOI: 10.12341/jssms09487
论文

具饱和传染率的脉冲免疫接种SIRS模型

    庞国萍(1)(2), 陈兰荪(1)
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The SIRS Epidemic Model With Saturated Contact Rate and PulseVaccination

    Pang Guoping(1)(2), Chen Lansun(1)
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摘要

研究了具饱和传染率的脉冲免疫接种SIRS模型的一致持续生存和周期解,得到了无病周期解全局渐近稳定的充分条件和系统一致持续生存的充分条件,并应用分支理论得到了正周期解存在的分支参数.

Abstract

In this paper, uniform persistence and periodic solution of the SIRS epidemic model with saturated contact rate and pulse vaccination are discussed. Sufficient conditions for global asymptotic stability of the infection-free periodic solution and uniform persistence of this model are obtained. Using bifurcation theory the bifurcation parameter for existence of the positive periodic solution is given.

关键词

脉冲免疫接种 / SIRS模型 / 一致持续生存 / 周期解.

Key words

Pulse vaccination / SIRS model / uniform persistence / periodic solution.

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庞国萍 , 陈兰荪. 具饱和传染率的脉冲免疫接种SIRS模型. 系统科学与数学, 2007, 27(4): 563-572. https://doi.org/10.12341/jssms09487
Pang Guoping , Chen Lansun. The SIRS Epidemic Model With Saturated Contact Rate and PulseVaccination. Journal of Systems Science and Mathematical Sciences, 2007, 27(4): 563-572 https://doi.org/10.12341/jssms09487
中图分类号： 34D05    34D20   
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