CD4 + T细胞感染HIV模型的全局动力学的数学分析

Journal of the Nigerian Association of Mathematical Physics Pub Date : 2008-06-13 DOI:10.4314/JONAMP.V11I1.40202

T. Oluyo, R. Ayeni, O. O. Ayndokan

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引用次数: 53

摘要

我们分析了一个描述HIV感染CD4 + T细胞的数学模型。我们感兴趣的是一个小的附加感染对平衡状态的影响。利用笛卡尔的解理论，我们证明了如果所谓的基本繁殖数R0为1，那么感染就会导致艾滋病的全面爆发。在任何一种情况下，Ro在疾病的最终发展中都很重要。JONAMP Vol. 11 2007: pp. 103-110

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Mathematical analysis of the global dynamics of a model for HIV infection of CD4 + T cells

We analyze a mathematical model that describes HIV infection of CD4 + T cells. We are interested in the effect of a small addition of infection on an equilibrium state. Using Rene Descartes\' theory of solutions, we show that if the so called basic reproduction number R0 1, then the infection will lead to full blown AIDS. In either case Ro is important in the eventual growth of the disease. JONAMP Vol. 11 2007: pp. 103-110

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Journal of the Nigerian Association of Mathematical Physics

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