摘要
首先建立了具有免疫反应参与的乙型肝炎病毒感染动力学新模型,利用Routh-Hurwitz判据,获得了正平衡点的局部渐近稳定的充分条件.其次建立了具有免疫时滞的数学模型,证明了随着时滞的增加,系统的稳定开关将会发生.
Firstly, the new infection dynamic model of Hepatitis B Virus in immune response is established. By using Routh-Hurwitz criteria, the sufficient condition of local asymptotic stability of a positive equilibrium point is obtained. Secondly, the mathematical model with delay of immune response is discussed, and it is proved that the stable switch will occur with the delay increasing.
出处
《纯粹数学与应用数学》
CSCD
2012年第5期635-640,共6页
Pure and Applied Mathematics
基金
湖南省财政厅项目(湘财教字[2010]51号)
