具有垂直传播及感染期的乙肝传播模型
发布时间：2019-04-13 14:51
【摘要】：研究具有垂直传播和感染期的乙肝病毒感染模型,考虑了发生率函数为非线性时模型的性质,以乙肝的平均感染期作为时滞,利用Routh-Hurwite判别法得到了系统的疾病消失的平衡点局部渐近稳定的条件,找到了基本再生数R0,通过构造Lyapunov函数,证明了地方病平衡点的全局渐近稳定性.
[Abstract]:The model of hepatitis B virus infection with vertical transmission and infection period was studied. Considering the non-linear nature of the incidence function, the average infection period of hepatitis B was taken as the time lag. The condition of local asymptotic stability of the disease vanishing equilibrium point of the system is obtained by using the Routh-Hurwite discriminant method, and the basic regeneration number R 0 is found. By constructing the Lyapunov function, the global asymptotic stability of the endemic equilibrium point is proved.
【作者单位】： 通化师范学院数学学院;河北软件职业技术学院智能工程系;
【基金】：吉林省教育厅资助项目(吉教科合字[2015]441)
【分类号】：O175
，
本文编号：2457669
[Abstract]:The model of hepatitis B virus infection with vertical transmission and infection period was studied. Considering the non-linear nature of the incidence function, the average infection period of hepatitis B was taken as the time lag. The condition of local asymptotic stability of the disease vanishing equilibrium point of the system is obtained by using the Routh-Hurwite discriminant method, and the basic regeneration number R 0 is found. By constructing the Lyapunov function, the global asymptotic stability of the endemic equilibrium point is proved.
【作者单位】： 通化师范学院数学学院;河北软件职业技术学院智能工程系;
【基金】：吉林省教育厅资助项目(吉教科合字[2015]441)
【分类号】：O175
，
本文编号：2457669
本文链接：https://www.wllwen.com/kejilunwen/yysx/2457669.html
