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- 2016
具有饱和发病率随机SIQS传染病模型的稳定性
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Abstract:
摘要： 研究了一类随机SIQ传染病模型,通过定义停时及利用伊藤公式,得到系统全局正解的存在唯一性。利用构造合适的Lyapunov函数,证明了在一定的条件下系统的解指数稳定及遍历性。数值模拟验证了我们所得的主要结果。
Abstract: A kind of stochastic SIQ epidemic model with saturated incidences is investigated. By using of the stop time and Ito formula, the existence-and-uniqueness of global positive solution for the model is obtained. By constructing suitable Lyapunov function, the exponential stability and ergodicity of the solution are derived under some moderate conditions. And numerical simulations are carried out to illustrate our results
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