摘要
对一类新的带有标准发病率的传染病模型进行了研究.首先,讨论了正平衡点的存在性和局部稳定性;最后,利用第二加性复合矩阵证明了正平衡点的全局稳定性.
A class of epidemic model with a standard incidence was studied in this paper.Firstly,the existence and local stability of the positive equilibrium point were discussed.Finally,the global stability of the positive equilibrium was proved by the second additive composite matrix.
作者
谯婷
QIAO Ting(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《兰州文理学院学报（自然科学版）》
2019年第6期1-6,48,共7页
Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金
国家自然科学基金(11361055,11761063)
关键词
传染病模型
第二加性复合矩阵
全局稳定性
数学流行病学
epidemic model
the second additive compound matrix
global stability
mathematical epidemiology
