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中文摘要：
建立一个带有双噪声的随机sI传染病模型，运用随机平均法及非线性动力学理论对模型进行化简．通过Lyapunov指数和奇异边界理论，得到模型的局部随机稳定性和全局随机稳定性的条件．根据不变测度的Lyapunov指数和平稳概率密度，分析模型的随机分岔．结果表明，系统在随机因素作用下变得更敏感、更不稳定．
英文摘要：
A stochastic SI epidemic model was proposed with double noises. With the stochas- tic averaging method and nonlinear dynamic theory, the SI epidemic model was simplified. Ac- cording to the Lyapunov exponent and singular boundary theory, some new criteria ensuring the model＇ s local and global stochastic stability were obtained. By dint of the Lyapunov exponent of invariant measure and the stationary probability density, the stochastic bifurcation of the model was explored. Results show that the system under the effect of random factors becomes more sensitive and more unstable.
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Global exponential stability of delayed fuzzy cellular neural networks with Markovian jumping parame
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