基于媒体报道的Filippov传染病模型的全局动力学
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引用本文:边彩莲1,黄立宏1,2,王佳伏2.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,(1):84-90
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边彩莲1,黄立宏1,2,王佳伏2 (1.湖南大学 数学与计量经济学院,湖南 长沙 410082
2.长沙理工大学 数学与统计学院,湖南 长沙 410114) 
中文摘要: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.
中文关键词:媒体报道  Poincaré映射  全局渐近稳定
 
Global Dynamics of Filippov Epidemic Model under Mediacoverage
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
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