| 一种具有直接免疫的时滞计算机病毒模型的Hopf分支 |
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| 引用本文： | 张子振,孙玉涛,司凤山. 一种具有直接免疫的时滞计算机病毒模型的Hopf分支[J]. 滨州师专学报, 2014, 0(3): 12-16 |
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| 作者姓名： | 张子振 孙玉涛 司凤山 |
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| 作者单位： | 安徽财经大学管理科学与工程学院,安徽蚌埠233030 |
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| 基金项目： | 安徽省高等学校省级自然科学研究项目（KJ2014A005） |
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| 摘 要： | 以计算机病毒的潜伏期时滞为参数,研究了一类具有直接免疫的时滞SIR计算机病毒动力学模型的Hopf分支。通过分析相应特征方程根的分布,得到计算机病毒模型的局部稳定性和产生局部Hopf分支的充分条件,并利用仿真实例对理论分析结果的正确性进行了验证。
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| 关 键 词： | 计算机病毒模型 稳定性 时滞 Hopf分支 |
Hopf Bifurcation for a Class of Computer Virus Model with Delay and Direct Immunization |
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| ZHANG Zi-zhen,SUN Yu-tao,SI Feng-shan. Hopf Bifurcation for a Class of Computer Virus Model with Delay and Direct Immunization[J]. Journal of Binzhou Teachers College, 2014, 0(3): 12-16 |
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| Authors: | ZHANG Zi-zhen SUN Yu-tao SI Feng-shan |
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| Affiliation: | (School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu , 233030, China) |
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| Abstract: | The problem of Hopf bifurcation for a class of computer virus model with delay and direct immunization is investigated by regarding the latent delay as a bifurcation parameter in this paper.The conditions for the stability and existence of local Hopf bifurcation of the model are obtained by analyzing distribution of roots of the associated characteristic equation,and a numerical example is presented to testify the effects of theoretical results. |
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| Keywords: | computer virus model stability delay Hopf bifurcation |
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