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计算机工程

• 安全技术 • 上一篇    下一篇

基于微分方程的移动自组网病毒传播模型研究

曹玉林 a,马建萍 b   

  1. (青海师范大学 a.计算机学院; b.数学系,西宁 810008)
  • 收稿日期:2015-12-18 出版日期:2017-01-15 发布日期:2017-01-13
  • 作者简介:曹玉林(1970—),男,教授、博士,主研方向为传感器网络、社会网络、机会网络;马建萍,教授。
  • 基金资助:
    国家自然科学基金(61373083,61363080)。

Research on Mobile Ad Hoc Network Virus Propagation Model Based on Differential Equation

CAO Yulin a,MA Jianping b   

  1. (a.School of Computer Science; b.Department of Mathematics,Qinghai Normal University,Xi’ning 810008,China)
  • Received:2015-12-18 Online:2017-01-15 Published:2017-01-13

摘要: 在移动自组网(MANET)中,针对节点的移动性导致网络拓扑结构动态变化的特点,利用微分方程提出MANET中的病毒传播模型,并对构建的微分方程系统进行平衡点存在性和稳定性分析,得出病毒传播的阈值及消亡条件,从而进一步研究节点移动速度、通信半径、免疫成功率和免疫失效率对MANET中病毒传播的影响。选取相应的实验参数,对系统进行仿真实验,结果验证了实验仿真与理论分析的一致性。

关键词: 微分方程, 移动自组网, 病毒传播, 传播模型, 稳定性

Abstract: In Mobile Ad Hoc Network(MANET),aiming at the characteristics that node mobility leads to dynamic network topology changes.So the MANET virus propagation model is proposed with differential equation,and on the equilibrium existence and stability analysis,constructed differential equation system is also conducted.The threshold and demise conditions of the virus transmission are determined,and further effects of node moving speed,communication radius,immunization success rate and immune failure rate on virus transmission in MANET are also studied.Experimental parameters are selected for system simulation,and the results verify the consistency of the experimental simulation and theoretical analysis.

Key words: differential equation, Mobile Ad Hoc Network(MANET), virus transmission, propagation model, stability

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