| 一类具有离散时滞的基因网络的Hopf分支 |
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| 引用本文： | 张学良,王蕾,王凯,冯晓梅.一类具有离散时滞的基因网络的Hopf分支[J].数学的实践与认识,2010,40(18). |
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| 作者姓名： | 张学良 王蕾 王凯 冯晓梅 |
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| 基金项目： | 新疆医科大学科研创新基金 |
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| 摘 要： | 研究一类具有两个时滞的二维单基因网络模型.首先得到了Hopf分支的存在性,其次利用规范型理论及中心流形定理确定了Hopf分支的方向和分支周期解的稳定性.最后,给出数值模拟.
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| 关 键 词： | Hopf分支 基因网络 时滞 稳定性τ |
Stability and Bifurcation of Genetic Regulatory Networks with Delays |
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| ZHANG Xue-liang,WANG Lei,WANG Kai,FENG Xiao-mei.Stability and Bifurcation of Genetic Regulatory Networks with Delays[J].Mathematics in Practice and Theory,2010,40(18). |
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| Authors: | ZHANG Xue-liang WANG Lei WANG Kai FENG Xiao-mei |
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| Abstract: | A two-dimension genetic regulatory network model with double genes and two delays is considered.The existence of Hopf bifurcations is first considered and then explicit formulas are derived by using the normal form method and center manifold theory to determine the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions.Finally,numerical simulations are carried out to support the theoretical analysis of the research. |
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| Keywords: | hopf bifurcation genetic regulatory networks time delay stability |
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