考虑医疗资源影响下的SIS模型动力学性态分析  

Dynamics Analysis of a SIS Model with Influence of Medical Resources

作　　者：张婷婷 ZHANG Ting-ting(School of Information Engineering,Shanxi College of Applied Science and Technology,Taiyuan 030062,China)

机构地区：[1]山西应用科技学院信息工程学院,山西太原030062

出　　处：《兰州文理学院学报（自然科学版）》2024年第6期20-23,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：研究了医疗资源影响下的SIS动力学模型.首先,求出了模型的基本再生数.其次,讨论了平衡点的存在性,即若R_(1)<1,R_(0)>1+βb_(0)(d+α)/d(d+α+μ_(0))时,系统有两个正平衡点或者没有正平衡点;当R_(1)>1时,系统存在一个正平衡点,并且证明了平衡点的稳定性.最后,对参数进行了敏感性分析.The SIS epidemic model with the influence of medical resources was built.The basic reproduction number of the model was obtained and the existence of equilibria was discussed.If R_(1)<1,R_(0)>1+βb_(0)(d+α)/d(d+α+μ_(0)),the system had two positive equilibria or no positive equilibrium,if R_(1)>1,the system had a unique positive equilibrium.And the stability of equilibria was discussed.Finally,sensitivity analysis of the parameters was conducted.

关 键 词：医疗资源 平衡点 稳定性 

分 类 号：O175.1[理学—数学]