摘要
分析了丙型肝炎的传播特点,建立了一类右端为不连续函数的急慢性丙型肝炎动力学模型,得到了模型的基本再生数Rc。利用不连续微分方程理论和Lyapunov-LaSalle不变集原理证明了各平衡点在有限时间内的全局稳定性。利用Matlab软件进行了数值仿真,验证了结论的正确性。
The transmission characteristics of hepatitis C are analyzed,a kind of acute and chronic hepatitis C kinetic model with a non continuous function at the right end is established,and the basic regeneration number Rc of the model is obtained.The global stability of each equilibrium point in finite time is proved by the discontinuous differential equations theory and Lyapunov-LaSalle invariant set principle.The correctness of the conclusion is verified through numerical simulation using Matlab.
作者
李迅
陶龙
LI Xun;TAO Long(Nanjing Health Branch,Jiangsu Union Technical Institute,Nanjing 210038,China;Public Foundation College,Wannan Medical College,Wuhu 241000,China)
出处
《新乡学院学报》
2023年第9期15-20,25,共7页
Journal of Xinxiang University
基金
皖南医学院科学研究项目(WK202117)。
