移动自组网病毒传播模型及稳定性分析  

VIRUS PROPAGATION MODEL OF MANET AND ITS STABILITY ANALYSIS

作　　者：赵焱鑫 张丹[1] 王小明[1] 李黎[1] 曹玉林[2] 

机构地区：[1]陕西师范大学计算机科学学院,陕西西安710062 [2]青海师范大学计算机学院,青海西宁810008

出　　处：《计算机应用与软件》2015年第11期297-300,共4页Computer Applications and Software

基　　金：国家自然科学基金项目(61173094;61373083;61303092;61363080)

摘　　要：考虑移动自组网中节点的移动特性,基于平均场理论提出移动自组网中病毒传播模型,并对建立的方程组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,从而研究节点移动速度、通信半径、免疫成功率和免疫失效率对移动自组网中病毒传播行为和传播临界特性的影响。结果表明:当病毒基本再生数R0<1时,网络全局渐近稳定在无病毒平衡点;当R0>1时,网络全局渐近稳定在地方病平衡点。最后通过数值仿真验证了该模型的正确性。Considering the moving character of nodes in MANET, we proposed based on the mean-filed theory the virus propagation model of MANET, and analysed the existence and stability of equilibrium points in established equations; we obtained the threshold of virus propagation and the extinction conditions, so that studied the effects of node moving velocity, communication radius, immune success rate and immune invalid rate on both the behaviours of virus propagation and critical characteristics of propagation in MANET. Results showed that if the basic reproduction number of virus R0 〈 1, the network is asymptotically stable at the disease-free equilibrium point globally; while R0 〉 1, the network is asymptotically stable at the endemic disease equilibrium point globally. Finally, through numerical simulation the correctness of the model was verified.

关 键 词：移动自组网 基本再生数 无病平衡点 地方病平衡点 稳定性 

分 类 号：TP309.5[自动化与计算机技术—计算机系统结构]