论文标题
具有双重扰动的随机siR传染病模型的动态表征
Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation
论文作者
论文摘要
本文提出了一种具有两种不同类型的扰动的爵士流行模型：白色和莱维噪声。我们奉献开发一种数学方法来获得扰动模型的渐近特性。我们使用比较定理，相互排斥的可能性引理以及随机差异系统的一些新技术来讨论以下特征：在均值，成真和灭绝的持续性中。最后，实现了有关不同扰动的数值模拟，以确认所获得的理论结果。
This paper presents an SIR epidemic model with two different types of perturbations: white and Lévy noises. We consecrate to develop a mathematical method to obtain the asymptotic properties of the perturbed model. We use the comparison theorem, mutually exclusive possibilities lemma, and some new techniques of the stochastic differential systems to discuss the following characteristics: persistence in the mean, ergodicity, and extinction of the disease. Finally, numerical simulations about different perturbations are realized to confirm the obtained theoretical results.
