宋利民,张子振

• 1:聊城教育学院计算机系
• 2:安徽财经大学管理科学与工程学院

摘要(Abstract)：

研究一类具有隔离策略的时滞SIQR网络病毒传播模型的动力学行为.以杀毒软件查杀网络病毒所需要的时间周期时滞为分岔参数,给出模型局部渐近稳定的充分条件,并确定了模型产生Hopf分岔的时滞临界点.利用中心流形定理和规范型理论推导出确定模型周期解性质的显性计算公式.最后给出仿真示例,验证了所得理论结果的正确性.

关键词(KeyWords)： SIQR模型;Hopf分岔;稳定性;周期解

Abstract:

Keywords:

基金项目(Foundation): 安徽省自然科学基金项目(1608085QF151)

作者(Author): 宋利民,张子振

DOI: 10.16393/j.cnki.37-1436/z.2016.05.012

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