| 一类带时滞的SIR传染病模型的稳定性 |
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| 引用本文： | 宋美.一类带时滞的SIR传染病模型的稳定性[J].数学的实践与认识,2009,39(15). |
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| 作者姓名： | 宋美 |
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| 作者单位： | 鲁东大学数学与信息学院,山东,烟台,264025 |
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| 基金项目： | 鲁东大学创新团队建设项目资助 |
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| 摘 要： | 研究了一类带时滞的SIR传染病模型,利用多项式判别系统研究了无病平衡点的全时滞稳定性,利用超越函数零点判别法研究了正平衡点的局部渐近稳定性.
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| 关 键 词： | SIR传染病模型 时滞 稳定性 |
Stability of an SIR Epidemic Model with Time Delay |
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| SONG Mei.Stability of an SIR Epidemic Model with Time Delay[J].Mathematics in Practice and Theory,2009,39(15). |
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| Authors: | SONG Mei |
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| Abstract: | We consider the stability of an SIR epidemic model with time delay.On the basis of the generalized Sturm theory,we consider the delay-independent stability of the disease free equilibrium(i.e.boundary equilibrium) E0=(S0,0,0),and we consider the asymptotic local stability of the endemic equilibrium(i.e.interior equilibrium) E+=(S*,I*,R*) with the well known Roth-Hurwitz criterion. |
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| Keywords: | SIR epidemic model delay stability |
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