摘要
提出了一类具有随机远程感染机制的SEIRS传播模型:在潜伏节点、感染节点分别以一定概率感染邻居节点的同时,分别以一定概率随机感染不存在边连接的陌生节点,且被感染的节点将进入潜伏状态。利用平均场理论得出了模型相对应的临界阈值,并对其进行仿真。理论分析和数值仿真结果表明,增大节点的随机感染密度将使临界阈值减小,网络中潜伏、感染节点的比例会显著增加,可有效地提高网络的传播效率。
A new SEIRS model with random long-distance infection mechanism was proposed.The eclipse nodes and infective nodes in the model could infect their neighbors and the strangers with no edges to connect them at the same time.Using the mean field theory,the theoretical critical threshold was obtained and the correctness of the theoretical results was validated via some simulations.Theoretical analysis and numerical simulations indicated that the critical threshold decreases with increasing of infected random nodes.The proportion of infected and eclipse nodes also increase significantly with increasing of infected random nodes.They can improve the efficiency of transmission network significantly.
出处
《武汉理工大学学报（信息与管理工程版）》
CAS
2010年第3期373-376,381,共5页
Journal of Wuhan University of Technology：Information & Management Engineering
基金
国家天元基金资助项目(10726031)
关键词
均匀网络
SEIRS模型
临界阈值
随机远程感染
数值仿真
homogeneous networks
SEIRS model
critical threshold
random long-distance infection
simulations
