HollingⅡ型发生率下常时滞HIV-1治疗模型的动力学行为研究被引量：3

Dynamic Behaviour of Constant Delay Model with Holling Ⅱ Incidence Rate for HIV-1 Therapy Model

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摘要利用特征方程和波动引理,研究了一类HollingⅡ型发生率作用下的常时滞HIV-1治疗模型的动力学行为.基于基本再生数,得到了无感染平衡点的全局稳定及单重感染平衡点的局部稳定的充分条件. By means of Fluctuation Lemma and Routh-Huritz criterion,we investigate the dynamics of a constant delay model with Holling Ⅱ incidence rate.Based on the basic reproduction number,we obtain some sufficient conditions to ensure the global stability of the infection-free equilibrium and the local stability of the single infection equilibrium.

作者吕翠芳袁朝晖焦建军

机构地区贵州财经学院数学与统计学院湖南大学数学与计量经济学院

出处《北华大学学报（自然科学版）》 CAS 2010年第3期206-209,共4页 Journal of Beihua University（Natural Science）

基金湖南省自然科学基金资助项目(09JJ3009)

关键词 HIV-1病毒波动引理稳定性时滞 HIV-1 virus Fluctuation Lemma stability delay

分类号 O175.14 [理学—数学]

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