| 具有双分布时滞的HIV-I模型的分支分析 |
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| 引用本文： | 王战伟,王稳地,王小莉.具有双分布时滞的HIV-I模型的分支分析[J].西南农业大学学报,2007,29(2):15-21. |
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| 作者姓名： | 王战伟 王稳地 王小莉 |
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| 作者单位： | 西南大学数学与统计学院,重庆400715 |
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| 基金项目： | 国家自然科学基金资助项目（10571143）. |
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| 摘 要： | 研究了一个具有双分布时滞的HIV-I模型．以两个平均时滞时间作为分叉变量得到了出现Hopf分叉、正平衡点总保持稳定性不变、正平衡点总是不稳定、正平衡点由稳定变不稳定再变稳定的条件．
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| 关 键 词： | HIV—I模型 稳定性 分布时滞 Hopf分叉 |
| 文章编号： | 1000-2642（2007）02-0015-07 |
| 修稿时间： | 2006-03-21 |
Bifurcation Analysis of a Model of Cell-to-Cell Spread of HIV-I with Double Distribution Delays |
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| WANG Zhan-wei, WANG Wen-di, WANG Xiao-li.Bifurcation Analysis of a Model of Cell-to-Cell Spread of HIV-I with Double Distribution Delays[J].Journal of Southwest Agricultural University,2007,29(2):15-21. |
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| Authors: | WANG Zhan-wei WANG Wen-di WANG Xiao-li |
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| Institution: | School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | In this paper, we consider a mathematical model of cell-to-cell spread of HIV-I with double distribution delays. By using two average time delays as bifurcation parameters, we obtain conditions in which the model undergoes the Hopf bifurcation, conditions in which the positive equilibrium is always unstable, conditions in which the positive equilibrium is always asymptotically stable, and conditions in which stability changes from stable to unstable to stable. |
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| Keywords: | HIV-I model stability distribution delay Hopf bifurcation |
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