非连续免疫对一类丙型肝炎SICR模型的影响  

Effect of Discontinuous Immunization on a Class of Hepatitis C SICR Models

作　　者：李迅 黄健[1] 陶龙 LI Xun;HUANG Jian;TAO Long(Nanjing Vocational Health College,Jiangsu Union Technical Institute,Nanjing 210038,China;Public Foundation College,Wannan Medical College,Wuhu 241000,Anhui,China)

机构地区：[1]江苏联合职业技术学院南京卫生分院,江苏南京210038 [2]皖南医学院公共基础学院,安徽芜湖241000

出　　处：《兰州文理学院学报（自然科学版）》2024年第4期6-12,共7页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：皖南医学院科学研究项目(WK202117)。

摘　　要：研究了一类右端不连续的丙肝SICR微分模型,利用微分包含理论和构造Lyapunov函数,证明了模型地方病平衡点和无病平衡点的存在唯一性,通过计算得到了模型的基本再生数R_(0),分析证明了各平衡点在有限时间内的全局渐近稳定性.文末借助MATLAB数值仿真验证了理论的准确性.A class of right end discontinuous SICR differential models for hepatitis C were studied.By using differential inclusion theory and constructing Lyapunov functions,the existence and uniqueness of local and disease-free equilibrium points in the model were proved.The basic reproduction number R_(0)of the model was calculated,and the global asymptotic stability of each equilibrium point in finite time was analyzed and proved.Finally,the accuracy of the theory was verified by MATLAB numerical simulation.

关 键 词：右端不连续 微分包含 Filippov解 全局渐近稳定 

分 类 号：O175[理学—数学]