论文标题
由Lévy噪声驱动的统一随机SIR模型与时间依赖性
A Unified Stochastic SIR Model Driven By Lévy Noise With Time-Dependency
论文作者
论文摘要
我们提出了一个由Lévy噪声驱动的统一随机SIR模型。该模型足够结构，可以允许时间依赖性，非线性，不连续性，人口统计学和环境干扰。我们介绍了积极全球解决方案的存在和独特性的简洁结果，并研究了新型模型的灭绝和持久性。提供了示例和仿真来说明主要结果。
We propose a unified stochastic SIR model driven by Lévy noise. The model is structural enough to allow for time-dependency, nonlinearity, discontinuity, demography and environmental disturbances. We present concise results on the existence and uniqueness of positive global solutions and investigate the extinction and persistence of the novel model. Examples and simulations are provided to illustrate the main results.
