【摘 要】
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In this paper,a Hepatitis B virus(HBV)model with an incubation period,and delayed state and control variables is firstly proposed; furthermore the combination treatment is adopted in order to have a l
【出 处】
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第二届中国计算机学会生物信息学会议
论文部分内容阅读
In this paper,a Hepatitis B virus(HBV)model with an incubation period,and delayed state and control variables is firstly proposed; furthermore the combination treatment is adopted in order to have a longer-lasting effect than mono-therapy.The equilibrium points and basic reproduction number are calculated,and then the local stability is analyzed.We then present optimal control strategies based on Pontryagins minimum principle with an objective function that is not only to reduce the levels of exposed cells,infected cells and free viruses nearly to zero at the end of therapy,but also to minimize the drug side-effect and the cost of treatment.
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