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Dynamics of a Chronic Hepatitis B Virus Infection Model with Drug Therapy and Immune Responses

机译:具有药物治疗和免疫反应的慢性乙型肝炎病毒感染模型的动力学。

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In this paper, we propose a mathematical model to study the role of the immune responses including cytolytic and non-cytolytic mechanisms in the drug therapy for the hepatitis B virus infection. By mathematically analyzing, we show that the virus-free equilibrium is globally asymptotically stable if the basic reproductive ratio of virus is less than one and the endemic equilibrium is locally asymptotically stable if the basic reproductive ratio is greater than one. Mathematical analysis and numerical simulations show that the immune responses play a significant and decisive role in eradication of disease. By numerical simulations, we can see that the value of endemic equilibrium state and the time to reach the equilibrium are determined by non-cytolytic immune reaction, and Cytolytic immune reaction also impacts on the endemic equilibrium, but the effect is weaker.
机译:在本文中,我们提出了一个数学模型来研究免疫应答(包括溶细胞和非溶细胞机制)在乙型肝炎病毒感染药物治疗中的作用。通过数学分析,我们表明,如果病毒的基本繁殖率小于1,则无病毒平衡在全局上是渐近稳定的;如果基本繁殖率大于1,则局部平衡是局部渐近稳定的。数学分析和数值模拟表明,免疫反应在根除疾病方面起着重要和决定性的作用。通过数值模拟可以看出,地方平衡状态的值和达到平衡的时间是由非细胞溶解免疫反应决定的,细胞溶解免疫反应也对地方平衡产生影响,但作用较弱。

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