| 基于媒体报道的Filippov传染病模型的全局动力学 |
| |
| 引用本文： | 边彩莲,黄立宏,王佳伏.基于媒体报道的Filippov传染病模型的全局动力学[J].经济数学,2019,36(1):84-90. |
| |
| 作者姓名： | 边彩莲 黄立宏 王佳伏 |
| |
| 作者单位： | 湖南大学 数学与计量经济学院,湖南 长沙,410082;湖南大学 数学与计量经济学院,湖南 长沙 410082;长沙理工大学 数学与统计学院,湖南 长沙 410114;长沙理工大学 数学与统计学院,湖南 长沙,410114 |
| |
| 基金项目： | 国家自然科学基金;国家自然科学基金;湖南省自然科学基金;湖南省工程数学建模与分析重点实验室 |
| |
| 摘 要： | 在经典传染病模型的基础上,通过考虑阈值策略,研究了一类基于媒体报道的不连续的传染病模型.利用Filippov意义下的右端不连续微分方程理论,对阈值策略下传染病模型的动力学行为进行了定性分析,并利用Poincaré映射研究了无病平衡点、地方病平衡点及伪平衡点的全局渐近稳定性.
|
| 关 键 词： | 媒体报道 POINCARÉ映射 全局渐近稳定 |
Global Dynamics of Filippov Epidemic Model under Mediacoverage |
| |
| BIAN Cailian,HUANG Lihong,WANG Jiafu.Global Dynamics of Filippov Epidemic Model under Mediacoverage[J].Mathematics in Economics,2019,36(1):84-90. |
| |
| Authors: | BIAN Cailian HUANG Lihong WANG Jiafu |
| |
| Institution: | (College of Mathematics and Econometrics , Hunan University ,Changsha , Hunan 410082, China;School of Mathematics and Statistics 3Changsha University of Science and Technology Changsha , Hunan 410114 ,China) |
| |
| Abstract: | Based on the classical epidemic model,by considering the threshold policy,a class of discontinuous epidemic model based on the media coverage was studied. The dynamical behaviors of the epidemic model under the threshold policy were qualitatively analyzed by using the theory of the differential equation with a discontinuous right-hand side in Filippov sense.In addition,the global asymptotical stability of a free equilibrium ,endemic equilibrium or pesudo-equilibrium was investigated by Poincaré maps as well. |
| |
| Keywords: | media coverage Poincaré map global asymptotical stability |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《经济数学》浏览原始摘要信息 |
| 点击此处可从《经济数学》下载免费的PDF全文 |
|
