安庆师范学院学报(自然科学版)2016,Vol.22Issue(3):11-14,4.DOI:10.13757/j.cnki.cn34-1150/n.2016.03.004
带有非线性免疫率的 SIRS 计算机病毒传播模型
Propagation Model of SIRS Computer Virus with Non-Line ar Vaccination Probability
摘要
Abstract
A propagation model of SIRS computer virus with non-linear vaccination probability is presented .The model takes into account that, in the case of non-infected, some of the susceptible nodes are becoming immune status category nodes directly after the new immunization.In addition, the model also includes the immune nodes which become lost immunity susceptible nodes again.The article draws the conclusion by ways of using the LaSalle invariance principle, constructing Lyapunov function, analy-zing the global stabilities of the virus-free equilibrium and the virus equilibrium.关键词
计算机病毒/全局稳定/Lyapunov 函数/数值模拟Key words
computer virus/global stability/Lyapunov function/simulation analysis分类
数理科学引用本文复制引用
昂蓉蓉,叶雷..带有非线性免疫率的 SIRS 计算机病毒传播模型[J].安庆师范学院学报(自然科学版),2016,22(3):11-14,4.基金项目
安徽省高校优秀青年人才基金重点项目(2011SQRL022ZD)。 ()