一类时滞网络病毒传播模型局部Hopf分支  

Local Hopf Bifurcation of a Delayed Computer Virus Model

作　　者：胡笑梅[1] 华纯良 王有刚[1] 张子振[1] HU Xiaomei;HUA Chunliang;WANG Yougang;ZHANG Zizhen(School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China)

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：《安庆师范大学学报（自然科学版）》2018年第4期11-14,共4页Journal of Anqing Normal University(Natural Science Edition)

基　　金：安徽省高校优秀青年人才计划重点项目(gxyqZD2018044);安徽省自然科学基金项目(1608085QF145;1608085QF151)

摘　　要：研究一类具有时滞的SIRSA计算机网络病毒传播模型。以病毒的潜伏期时滞为分支参数,得到模型局部稳定和局部Hopf分支存在的充分性条件,并计算得到模型产生局部Hopf分支的时滞临界点,最后利用仿真示例验证结果的正确性。A delayed SIRSA computer virus model is investigated.Sufficient conditions for local stability and existence of the local Hopf bifurcation of the model are obtained by taking the delay as a bifurcation parameter.The critical value of the delay at which the Hopf bifurcation occurs is also calculated.Finally,a numerical example is presented to verify the results.

关 键 词：网络病毒 时滞 HOPF分支 SIRSA模型 

分 类 号：O175.12[理学—数学]