一类时滞HIV模型的Hopf分支 |
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引用本文: | 陈红兵,刘晓君.一类时滞HIV模型的Hopf分支[J].佳木斯工学院学报,2010(5):761-762,766. |
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作者姓名: | 陈红兵 刘晓君 |
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作者单位: | 天水师范学院数学与统计学院,甘肃天水741001 |
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基金项目: | 甘肃省自然科学基金项目(096RJZE106) |
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摘 要: | 研究了一类带时滞的HIV病毒的CD4+细胞模型及它的平衡点的稳定性,当该模型满足一定条件时,它的平衡点稳定,当平衡点不稳定时研究了Hopf分支的存在性.
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关 键 词: | 时滞 稳定性 Hopf分支 |
Hopf Bifurcation of HIV Model with Time Delay |
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Authors: | CHEN Hong-bing LIU Xiao-jun |
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Affiliation: | (School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China) |
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Abstract: | A delay differential mathematical model to describe HIV infection of CD4 T-cells was analyzed.The stability of the non-negative equilibria and the existence of Hopf bifurcation were investigated.And the Hopf bifurcation of this system was studied. |
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Keywords: | delay stability Hopf bifurcation |
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