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摘 要：在一个时滞模型的基础上，研究了两个不同时滞的HIV病毒的 细胞模型及它的平衡点稳定性问题, 并研究了Hopf 分岔的存在性.
关键词：时滞; 稳定性; Hopf 分岔
中图分类号: O175.17 文献标识码: A
1. 引言
参考文献
[1] Cook K, Grossman Z. Discrete delay, distributed delay and stability switches[J ]. Journal of Mathematical Analysis and Applications, 1992 , 86: 592-627.
[2] Hassard B D, Kazarinoff N D. Theory and Applications of Hopf Bif urcation[M]. London: Cambridg9e University Press,1981.
[3] LIAO Xiao - feng. Bifurcation analysison a two - neuron system with distributed delays[J ]. Physica , 2001 , 149(1-2) :123 -141.
[4] LI Xian - gao. Stability and bifurcation in delay - differential equtions with two delays[J ]. 1999 , 236 (2) : 254 -280.
[5] 唐风军. 以滞量为参数的二阶时滞微分方程的 Hopf 分支公式[J ]. 复旦学报(自然科学版) , 1997 , 36 (2) : 138 -144.
[6]WEN Xian - zhang. The existence of periodic solutionsfor some models with delay[J]. Nonlinear Analysis , 2002 , 3 (4) :567-581.
[7] Xiaowu Jiang, Xueyong Zhou , Xiangyun Shi, Xinyu Song. Analysis of stability and Hopf bifurcation for a delay-differential equation model of HIV infection of CD4 T-cells[J]. Chaos , Solitons and Fractals. 2008, 38：447-460.
作者简介
陈红兵(1983)，女，讲师，甘肃静宁人。
关键词：时滞; 稳定性; Hopf 分岔
中图分类号: O175.17 文献标识码: A
1. 引言
参考文献
[1] Cook K, Grossman Z. Discrete delay, distributed delay and stability switches[J ]. Journal of Mathematical Analysis and Applications, 1992 , 86: 592-627.
[2] Hassard B D, Kazarinoff N D. Theory and Applications of Hopf Bif urcation[M]. London: Cambridg9e University Press,1981.
[3] LIAO Xiao - feng. Bifurcation analysison a two - neuron system with distributed delays[J ]. Physica , 2001 , 149(1-2) :123 -141.
[4] LI Xian - gao. Stability and bifurcation in delay - differential equtions with two delays[J ]. 1999 , 236 (2) : 254 -280.
[5] 唐风军. 以滞量为参数的二阶时滞微分方程的 Hopf 分支公式[J ]. 复旦学报(自然科学版) , 1997 , 36 (2) : 138 -144.
[6]WEN Xian - zhang. The existence of periodic solutionsfor some models with delay[J]. Nonlinear Analysis , 2002 , 3 (4) :567-581.
[7] Xiaowu Jiang, Xueyong Zhou , Xiangyun Shi, Xinyu Song. Analysis of stability and Hopf bifurcation for a delay-differential equation model of HIV infection of CD4 T-cells[J]. Chaos , Solitons and Fractals. 2008, 38：447-460.
作者简介
陈红兵(1983)，女，讲师，甘肃静宁人。