一类带标准发病率的传染病模型的动力学分析  

Dynamic Analysis of a Class of Epidemic Model with Standard Incidence

作　　者：谯婷 QIAO Ting(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院

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)

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.

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 

分 类 号：O175.26[理学—数学]