摘要
利用定义法给出SEIR模型的基本再生数,得到了各类平衡点存在的条件。利用Routh-Hurwitz判据证明了地方病平衡点*P是局部渐近稳定的;利用第二加性复合矩阵证明了地方病平衡点*P全局稳定性的充分条件。
The basic reproduction number of the model is given by using the definition, and the existing threshold conditions of all kinds of the equilibrium points are obtained. Locally asymptotic stability of the endemic equilibrium P＇ is proven by using the Routh-Hurwitz criterion, and the sufficient conditions of global asymptotic stability of the endemic equilibrium P＇is also obtained by using the second additive compound matrix.
出处
《湖南文理学院学报（自然科学版）》
CAS
2015年第2期14-18,共5页
Journal of Hunan University of Arts and Science(Science and Technology)
基金
国家自然科学基金(11201434)
关键词
饱和发生率
治疗
基本再生数
稳定性
saturated rate
treatment
basic reproduction number
stability
