摘要
研究了一类具有心理因素影响的传染率函数和有医疗限制的治疗函数的SVIR传染病模型。讨论了模型平衡点的存在性,计算了基本再生数,通过Hurwitz判据得到无病平衡点和地方病平衡点的局部稳定性,用构造Lyapunov函数的方法证明无病平衡点的全局稳定性,最后利用第二加性复合矩阵判断地方病平衡点的全局稳定性。
A model of SVIR infectious disease with a psychological infection rate function and a medical treatment function is studied.Firstly,the existence of the model equilibrium point is discussed,and the basic regeneration number is calculated.Then,the local stability of disease-free equilibrium point and endemic equilibrium point is obtained by Hurwitz criterion.The global stability of disease-free equilibrium point is proved by constructing Lyapunov function.
作者
陈霞霞
张睿
CHEN Xia-xia;ZHANG Rui(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《滨州学院学报》
2023年第2期47-53,共7页
Journal of Binzhou University
关键词
心理因素
稳定性
SVIR传染病模型
psychological factors
stability
SVIR infectious disease model
