| 一类带时滞的SIR传染病模型的稳定性与Hopf分岔分析 |
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| 引用本文： | 高彩琳. 一类带时滞的SIR传染病模型的稳定性与Hopf分岔分析[J]. 太原师范学院学报(自然科学版), 2011, 10(2): 11-17 |
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| 作者姓名： | 高彩琳 |
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| 作者单位： | 天津大学理学院,天津,300072 |
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| 摘 要： | 研究了一类带有时滞且具有预防接种免疫力的SIR传染病模型.借助特征值理论分析了无病平衡点和地方病平衡点的稳定性,同时以时滞为分岔参数,得出Hopf分岔的条件,进一步应用规范型和中心流形定理得出了关于Hopf分岔周期解的稳定性和分岔方向的计算公式.
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| 关 键 词： | 稳定性 时滞 预防接种免疫力 Hopf分岔 |
Stability and Hopf Bifurcation for a SIR Epidemiological Model with and Delay System |
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| Gao Cailin. Stability and Hopf Bifurcation for a SIR Epidemiological Model with and Delay System[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2011, 10(2): 11-17 |
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| Authors: | Gao Cailin |
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| Affiliation: | Gao Cailin(Department of Mathematics,Tianjin University,Tianjin 300072,China) |
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| Abstract: | A SIR epidemiological model with vaccinal immunity and delay system is studied.The eigenvalue method is applied to analyze the the stability of disease free equilibrium point and endemic equilibrium point.Also,the bifurcation condition can be drawn if tim |
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| Keywords: | stability time-delay vaccinal immunity Hopf bifurcation |
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