| 一类带Gilpin-Ayala增长率的时滞计算机病毒模型 |
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| 引用本文： | 施键兰,余赞平.一类带Gilpin-Ayala增长率的时滞计算机病毒模型[J].福建工程学院学报,2017,0(3):301-306. |
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| 作者姓名： | 施键兰 余赞平 |
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| 作者单位： | 福建农林大学东方学院 |
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| 摘 要： | 研究了一类带Gilpin-Ayala增长率的时滞计算机网络病毒传播模型。通过分析模型特征方程及考虑时滞对系统动力学行为的影响，得到模型的平衡点稳定及 Hopf 分岔产生的条件。数值模拟验证出所得理论分析结果的正确性。
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| 关 键 词： | 计算机病毒 Gilpin-Ayala增长率 稳定性 Hopf分岔 时滞 |
A time delayed computer virus model with Gilpin-Ayala growth rate |
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| Shi Jianlan,Yu Zanping.A time delayed computer virus model with Gilpin-Ayala growth rate[J].Journal of Fujian University of Technology,2017,0(3):301-306. |
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| Authors: | Shi Jianlan Yu Zanping |
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| Institution: | Dongfang College， Fujian Agriculture and Forestry University |
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| Abstract: | In this paper，a time-delay viral infection model in computer networks with Gilpin-Ayala growth rate was investigated．By analysing the associated characteristic equation and the impact of the time delay on the dynamical behaviour of a system，the conditions of equilibrium stability and the production of Hopf bifurcation were obtained．Numerical simulations confirm the theoretical results |
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| Keywords: | computer virus Gilpin-Ayala growth rate stability Hopf bifurcation time delay |
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