| 基于两阶段免疫接种的SIRS计算机病毒传播模型 |
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| 引用本文： | 叶晓梦 杨小帆. 基于两阶段免疫接种的SIRS计算机病毒传播模型[J]. 计算机应用, 2013, 33(3): 739-742. DOI: 10.3724/SP.J.1087.2013.00739 |
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| 作者姓名： | 叶晓梦 杨小帆 |
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| 作者单位： | 重庆大学 计算机学院,重庆 400030 |
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| 基金项目： | 国家自然科学基金资助项目(10771227); 国家教育部新世纪优秀人才计划项目(NCET-05-0759); 中央高校基本科研业务费资助项目(CDJXS10181130)。 |
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| 摘 要： | 针对现有的带有免疫接种策略的病毒传播模型的不足,根据生物学中的传染病模型提出了带有阶段免疫接种特点的SIRS计算机病毒传播模型。该模型充分考虑了在达到感染阈值时免疫接种概率的变化对于病毒传播的影响。此外,利用动力学稳定性理论分析并证明了病毒平衡点的存在和稳定条件。数值仿真结果表明,提高免疫接种率和设定适当的感染阈值可以有效控制计算机病毒在网络中的传播。
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| 关 键 词： | 计算机病毒动力学 SIRS模型 稳定性 两阶段免疫接种 |
| 收稿时间： | 2012-09-04 |
| 修稿时间： | 2012-11-02 |
SIRS model of computer virus propagation based on two-stage immunization |
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| YE Xiaomeng YANG Xiaofan. SIRS model of computer virus propagation based on two-stage immunization[J]. Journal of Computer Applications, 2013, 33(3): 739-742. DOI: 10.3724/SP.J.1087.2013.00739 |
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| Authors: | YE Xiaomeng YANG Xiaofan |
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| Affiliation: | College of Computer Science, Chongqing University, Chongqing 400030, China |
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| Abstract: | For the deficiency of the existing network virus models with immunization, considering the infectious disease model in biology, a Susceptible-Infected-Recovered-Susceptible (SIRS) computer virus propagation model with stage immunization was formulated. The varying probability of being vaccinated when the threshold was reached and its impact on the spread of the virus in the network were considered. Furthermore, with the help of the theory of dynamic stability analysis, the existence and stability conditions of equilibriums were studied. The numerical simulation results illustrate that improving the rate of vaccination and setting a reasonable threshold can effectively constrain virus prevalence in the network. |
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| Keywords: | computer virus dynamics Susceptible-Infected-Recovered-Susceptible (SIRS) model stability two-stage immunization |
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