具有双时滞的分数阶SIQR谣言传播模型的分岔分析  

Bifurcation Analysis of Fractional SIQR Rumor Propagation Model with Double Delays

作　　者：叶茂林 蒋海军[1,2] YE Maolin;JIANG Haijun(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830017,China;School of Mathematics and Statistics,Yili Normal University,Yining Xinjiang 835000,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830017 [2]伊犁师范大学数学与统计学院,新疆伊宁835000

出　　处：《新疆大学学报（自然科学版）（中英文）》2022年第6期654-662,共9页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：国家自然科学基金(62163035,62173175);新疆应用数学自治区重点实验室项目(XJDX1401);中央指导的地方科技发展专项(ZYYD2022A05)。

摘　　要：考虑一个具有双时滞的分数阶SIQR谣言传播模型.首先,分别以不同的时滞为分岔参数得到两种情况下系统发生Hopf分岔的时滞临界值,并给出系统发生Hopf分岔的条件.最后,数值模拟验证了结论的准确性.A fractional SIQR rumor propagation model with two time delays is considered in this paper.Firstly,different time delay is selected as bifurcation parameter to obtain the Hopf bifurcation critical values,respectively.And the conditions of bifurcation are given.Finally,numerical simulations are given to verify the accuracy of our conclusions.

关 键 词：分数阶 双时滞 谣言传播 HOPF分岔 

分 类 号：O175[理学—数学]