| 一类带有治愈率的HIV感染CD4~+T细胞的分数阶微分方程模型 |
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| 引用本文： | 黎梅新,叶海平. 一类带有治愈率的HIV感染CD4~+T细胞的分数阶微分方程模型[J]. 东华大学学报(自然科学版), 2010, 36(1) |
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| 作者姓名： | 黎梅新 叶海平 |
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| 作者单位： | 东华大学理学院,上海,201620 |
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| 摘 要： | 提出分数阶的HIV-免疫系统,在一类带有饱和HIV感染的CD4+T细胞常微分方程模型的基础上引入一个带有治愈率的HIV感染CD4+T细胞分数阶微分方程模型.通过分析,得到了该模型正解的全局存在唯一性条件及模型平衡点局部渐近稳定的充分条件.最后用Matlab对模型平衡点的稳定性进行了数值模拟.
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| 关 键 词： | 分数阶微分方程 正解 稳定性 |
A Fractional Differential Equation Model of HIV Infection of CD4~+ T-cells with Cure Rate |
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| LI Mei-xin,YE Hai-ping. A Fractional Differential Equation Model of HIV Infection of CD4~+ T-cells with Cure Rate[J]. Journal of Donghua University, 2010, 36(1) |
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| Authors: | LI Mei-xin YE Hai-ping |
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| Abstract: | A fractional-order HIV-immune system was proposed,a fractional differential equation model of HIV infection of CD4~+ T-cells with cure rate was established on the base of HIV infection of CD4~+ T-cells ordinary differential equation model with saturation response of the infection rate.By analysis,conditions for which a positive solution of the system exists in the global spaces and sufficient conditions on the parameters for the local asymptotic stability of systems equilibrium point was obtained.Finally,numerical simulations were presented to illustrate the stability of equilibrium point by Matlab. |
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| Keywords: | HIV fractional differential equation HW positive solution stability |
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