基于模糊模型的乙肝病毒传播的母婴免疫控制方法  

Mother-Infant Combined Immunization Method for Hepatitis B Virus Transmission Based on Fuzzy Model

作　　者：李景溪[1] 江武明 

机构地区：[1]中国医科大学附属第四医院,辽宁沈阳110032 [2]东北大学理学院,辽宁沈阳110819

出　　处：《生物数学学报》2016年第2期203-210,共8页Journal of Biomathematics

摘　　要：本文研究基于模糊模型的乙型肝炎病毒传播的母婴免疫控制方法.利用总人口数恒定的假设,建立由非线性微分代数方程描述的乙肝病毒传播的动力学模型.借助干微分代数系统理论,分析乙肝病毒传播模型的无病平衡点的局部动态行为.分析表明,无病平衡点仅对某些参数取值是稳定的.基于T-S模糊模型,将母婴免疫方法看作控制变量,提出一种有效控制乙型肝炎病毒传播的策略.This paper studies the mother-infant combined immunization control method for Hepatitis B virus via fuzzy model. Based on the assumption that the total population is constant, a nonlinear differential-algebraic system is formulated to describe the Hepatitis B virus transmission model. By virtue of differential-algebraic system theory, the qualitative characteristics of the disease-free equilibrium of such model are analyzed. It shows that the disease-free equilibrium is only stable for certain parameter values. On the basis of T-S fuzzy model, by regarding motherinfant combined immunization as control variable, an effective strategy is proposed to control the transmission of the Hepatitis B virus.

关 键 词：母婴免疫 乙型肝炎病毒 微分代数系统 T-S模糊模型 

分 类 号：O231.2[理学—运筹学与控制论] R715[理学—数学]