一类具有时滞的无线传感器网络蠕虫传播模型  

A Delayed Worm Propagation Model in Wireless Sensor Network

作　　者：毕殿杰[1] 衣冠洁 仇实 尤发展 张子振[1] BI Dian- j ie;YI Guan- j ie;QIU S h i;Y OU Fa-z h a n;Z H A N G Zi-zhen(School of Management Science and Engineering ,Anhui University of Finance and Economics,Bengbu 233030, Chin)

机构地区：[1]安徽财经大学管理科学与工程学院,安徽蚌埠233030

出　　处：《滨州学院学报》2017年第4期34-40,共7页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(11461024);安徽省自然科学基金资助项目(1608085QF151)

摘　　要：研究一类具有时滞的无线传感器网络蠕虫传播模型。构建模型时考虑了网络中节点通信半径和节点的分布密度。以模型中的潜伏期时滞为分支参数,通过分析相应特征方程根的分布情况,给出模型局部渐近稳定和产生Hopf分支的充分条件。进而,研究了Hopf分支的性质。最后,利用仿真示例验证了所得理论分析结果的正确性。A delayed worm propagation model in wireless sensor network,considering communication radius and distribution density of nodes,is investigated.Sufficient conditions for the local stability and the occurrence of a Hopf bifurcation are obtained by taking the latent delay as a bifurcation parameter and analyzing the distribution of the roots of the corresponding characteristic equation.Further,the properties of the Hopf bifurcation are investigated.Finally,a numerical example is presented to verify the obtained results.

关 键 词：HOPF分岔 时滞 SIRS模型 无线传感器网络 

分 类 号：O175.12[理学—数学]