| 对一类带时滞的SIRS型媒介传染病的稳定性分析 |
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| 引用本文： | 王晓娜,刘茂省,李有文.对一类带时滞的SIRS型媒介传染病的稳定性分析[J].太原师范学院学报(自然科学版),2012(3):1-4. |
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| 作者姓名： | 王晓娜 刘茂省 李有文 |
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| 作者单位： | 中北大学数学系 |
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| 基金项目： | 国家自然科学基金(10901145);山西省高等学校优秀青年学术带头人资助 |
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| 摘 要： | 讨论了一类带时滞的SIRS型媒介传染病模型,通过分析系统平衡点处的特征方程研究时滞的引入对平衡点稳定性的影响,同时表明了时滞能破坏系统的稳定性引发Hopf分支产生周期解.
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| 关 键 词： | SIRS模型 媒介传染病 时滞 Hopf分支 |
Stability Analysis of a SIRS Epidemic Model of a Vector-Borne Disease and Time Delay |
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| Wang Xiaona Liu Maoxing Li Youwen.Stability Analysis of a SIRS Epidemic Model of a Vector-Borne Disease and Time Delay[J].Journal of Taiyuan Normal University:Natural Science Edition,2012(3):1-4. |
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| Authors: | Wang Xiaona Liu Maoxing Li Youwen |
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| Institution: | Wang Xiaona Liu Maoxing Li Youwen(Department of Mathematics,North University of China,Taiyuan 030051,China) |
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| Abstract: | To investigate a SIRS vector-borne epidemic model with horizontal transmission and time delay.We study the effect of that delay on the stability of the equilibrium by analyzing the corresponding characteristic equations.It is shown that the introduction of a time delay can destabilize the system and periodic slutions can arise through Hopf bifurcation. |
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| Keywords: | SIRS model vector-borne disease time delay Hopf bifurcation |
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