| 一类考虑媒体报道影响和垂直传染的随机SIS模型研究 |
| |
| 引用本文： | 马莎莎,马纪英.一类考虑媒体报道影响和垂直传染的随机SIS模型研究[J].上海理工大学学报,2020,42(6):533-542. |
| |
| 作者姓名： | 马莎莎 马纪英 |
| |
| 作者单位： | 上海理工大学理学院,上海 200093;上海理工大学理学院,上海 200093 |
| |
| 基金项目： | 国家自然科学基金资助项目（11501364）；上海理工大学科技发展项目（2018KJFZ148，2019KJFZ171，2020KJFZ161） |
| |
| 摘 要： | 研究了一类考虑媒体报道影响和垂直传染的随机SIS传染病模型的动力学行为。首先，证明了系统的全局正解的存在唯一性，同时分析了模型在相应确定性模型的地方病平衡点附近的渐近行为。其次，通过构造恰当的Lyapunov函数，得到了疾病灭绝的条件以及系统具有唯一遍历平稳分布的充分条件。最后，通过数值模拟验证了所得结论的正确性。
|
| 关 键 词： | 媒体报道 垂直传染 Lyapunov函数 灭绝 遍历平稳分布 |
| 收稿时间： | 2019/10/17 0:00:00 |
A stochastic SIS epidemic model with vertical transmission and media coverage |
| |
| MA Shash,MA Jiying.A stochastic SIS epidemic model with vertical transmission and media coverage[J].Journal of University of Shanghai For Science and Technology,2020,42(6):533-542. |
| |
| Authors: | MA Shash MA Jiying |
| |
| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
| |
| Abstract: | The dynamics of a stochastic SIS epidemic model with vertical transmission and media coverage was investigated. The existence and uniqueness of the global position solution of the model was proved, and the asymptotic behavior around the endemic equilibrium of the corresponding deterministic model was analyzed. Then, by constructing a suitable Lyapunov function, the sufficient conditions for the extinction of disease as well as the existence of unique ergodic stationary distribution were obtained. Numerical simulations were displayed to support the theoretical results. |
| |
| Keywords: | media coverage vertical transmission Lyapunov function extinction ergodic stationary distribution |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《上海理工大学学报》浏览原始摘要信息 |
| 点击此处可从《上海理工大学学报》下载免费的PDF全文 |
