| 具脉冲预防接种的SIRS传染病模型中地方病周期解的存在性 |
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| 引用本文： | 史培林,董玲珍.具脉冲预防接种的SIRS传染病模型中地方病周期解的存在性[J].数学的实践与认识,2011,41(7). |
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| 作者姓名： | 史培林 董玲珍 |
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| 作者单位： | 太原理工大学数学系,山西,太原,030024 |
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| 摘 要： | 对具脉冲预防接种的SIRS传染病模型进行分析,利用分支理论得到了系统中地方病周期解的存在性,并利用数值模拟的方法验证了所得结论的正确性,完善了对该系统的讨论结果
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| 关 键 词： | 脉冲接种 无病周期解 地方病周期解 分支 |
Existence of Endemic Periodic Solution in the SIRS Epidemic Models with Pulse Vaccination Policy |
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| SHI Pei-lin,DONG Ling-zhen.Existence of Endemic Periodic Solution in the SIRS Epidemic Models with Pulse Vaccination Policy[J].Mathematics in Practice and Theory,2011,41(7). |
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| Authors: | SHI Pei-lin DONG Ling-zhen |
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| Institution: | SHI Pei-lin,DONG Ling-zhen (Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China) |
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| Abstract: | An SIRS epidemical model with impulsive vaccination is analysed.The endemic disease periodic solution is obtained for such a system by using bifurcation technique,and the results are demonstrated by numerical simulation. |
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| Keywords: | impulsive vaccination disease-free periodic solution endemic periodic solution bifurcation |
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