| 有色噪声下随机时滞传染病模型的稳定性 |
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| 引用本文： | 吴爱华,张建勋. 有色噪声下随机时滞传染病模型的稳定性[J]. 世界科技研究与发展, 2009, 31(2): 350-353 |
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| 作者姓名： | 吴爱华 张建勋 |
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| 作者单位： | 宁波大学理学院,宁波,315211;宁波大学理学院,宁波,315211 |
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| 摘 要： | 本文运用O-U过程刻画环境变化性,在Edoardo Beretta基础上构造了有色噪声影响下的随机时滞的传染病模型。运用一般Lyapunonv方法研究了有色噪声对该系统的影响并得到系统正平衡点保持稳定的充分条件。最后通过对比发现随机扰动对系统稳定性影响仅仅与其随机过程的方差有关。
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| 关 键 词： | 随机时滞微分方程 有色噪声 Ornstein-Uhlenbeck过程 生成子 Lyapunov函数 |
The Stability of Stochastic Epidemic Model with Time Delays Influenced by Color Noises |
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| WU Aihua,ZHANG Jianxun. The Stability of Stochastic Epidemic Model with Time Delays Influenced by Color Noises[J]. World Sci-tech R & D, 2009, 31(2): 350-353 |
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| Authors: | WU Aihua ZHANG Jianxun |
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| Affiliation: | ( Faculty of Science, Ningbo University, Ningbo 315211 ) |
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| Abstract: | In this paper,we characterized the environment variability with the O-U process and constructed the color noises influenced sto chastic delayed epidemic model based on the article of Edoardo Beretta.Using the general method of Lyapunov function construction,we in vestigated the influences of the color noises On the epidemic model and obtained the sufficient conditions that the positive equilibrium of sys tem kept stable.Firmlly.we found that the influeflces of the stability of system only concerned to the variances of the stochastic processes. |
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| Keywords: | stochastic delay differential equation color noise ornstein-ahlenbeck process generator Lyapunov function |
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