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基于模糊模型的乙肝病毒传播的母婴免疫控制方法

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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.借助于微分代数系统理论,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.
Mother-Infant Combined Immunization Method for Hepatitis B Virus Transmission Based on Fuzzy Model
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.

Mother-infant combined immunizationHepatitis B virusDifferential-algebraic systemsT-S fuzzy model

李景溪、江武明

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中国医科大学附属第四医院,辽宁沈阳110032

东北大学理学院,辽宁沈阳110819

母婴免疫 乙型肝炎病毒 微分代数系统 T-S模糊模型

2016

生物数学学报
中国数学会生物数学学会

生物数学学报

ISSN:1001-9626
年,卷(期):2016.31(2)
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