具有双时滞的分数阶SIQR谣言传播模型的分岔分析

叶茂林; 蒋海军

doi:10.13568/j.cnki.651094.651316.2021.12.23.0003

您当前的位置：

首页 >

文章列表页 >

具有双时滞的分数阶SIQR谣言传播模型的分岔分析

数理科学 | 更新时间：2026-01-21

- 具有双时滞的分数阶SIQR谣言传播模型的分岔分析
- 具有双时滞的分数阶SIQR谣言传播模型的分岔分析
- 新疆大学学报（自然科学版中英文） 2022年39卷第6期页码：654-662
- 作者机构：
  
  1. 新疆大学数学与系统科学学院
  2. 伊犁师范大学数学与统计学院
- 作者简介：
- 基金信息：
  
  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）
- DOI：10.13568/j.cnki.651094.651316.2021.12.23.0003
  中图分类号： O175;G206;C912.63
- 纸质出版：2022
- 稿件说明：
移动端阅览
[1]叶茂林,蒋海军.具有双时滞的分数阶SIQR谣言传播模型的分岔分析[J].新疆大学学报(自然科学版)(中英文),2022,39(06):654-662.
[1]叶茂林,蒋海军.具有双时滞的分数阶SIQR谣言传播模型的分岔分析[J].新疆大学学报(自然科学版)(中英文),2022,39(06):654-662. DOI： 10.13568/j.cnki.651094.651316.2021.12.23.0003.

DOI：10.13568/j.cnki.651094.651316.2021.12.23.0003.

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．

Abstract

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

Keywords

references

DALEY D J, KENDALL D G. Epidemics and rumours[J]. Nature, 1964, 204(4963):1118.

YU S Z, YU Z Y, JIANG H J, et al. The dynamics and control of 2I2SR rumor spreading models in multilingual online social networks[J]. Information Sciences, 2021, 581(1):18-41.

ANKUR J, JOYDIP D, VIJAY G. Rumor model on homogeneous social network incorporating delay in expert intervention and government action[J]. Communications in Nonlinear Science and Numerical Simulation, 2020, 84:105189.

WANG J L, JIANG H J, HU C, et al. Stability and Hopf bifurcation analysis of multi-lingual rumor spreading model with nonlinear inhibition mechanism[J]. Chaos, Solitons&Fractals, 2021, 153:111464.

HUANG C D, LI H, CAO J D. A novel strategy of bifurcation control for a delayed fractional predator-prey model[J]. Applied Mathematics and Computation, 2019, 347:808-838.

WANG X H, WANG Z, HUANG X, et al. Dynamic analysis of a delayed fractional-order SIR model with saturated incidence and treatment functions[J]. International Journal of Bifurcation and Chaos, 2018, 28(14):1850180.

YANG Y P, HU C, YU J. Event-triggered quasi-synchronization of fractional-order reaction-diffusion networks with disturbance[J].Journal of Xinjiang University(Natural Science Edition in Chinese and English), 2022, 39(2):134-143.

SHU P P. Effects of memory on information spreading in complex networks[C]//17th International Conference on Computational Science and Engineering. Chengdu:IEEE, 2014.

YANG R Q, HAN D D, QIAN J H. Multi-message topic dissemination probabilistic model with memory attenuation based on Social-Messages Network[J]. International Journal of Modern Physics C, 2019, 30(7):1-16.

ZHANG Y, XU J P. A rumor spreading model considering the cumulative efects of memory[J]. Discrete Dynamics in Nature and Society, 2015, 2015:1-11.

SINGH J. A new analysis for fractional rumor spreading dynamical model in a social network with Mittag-Leffler law[J]. Chaos,2019, 29(1):013137.

GRAEF J R, KONG L J, LEDOAN A, et al. Stability analysis of a fractional online social network model[J]. Mathematics and Computers in Simulation, 2020, 178(82):625-645.

REN G, YU Y, LU Z, et al. A fractional order model for rumor spreading in mobile social networks from a stochastic process[C]//9th International Conference on Systems and Control. Caen:IEEE, 2021.

PODLUBNY I. Fractional differential equations[M]. New York:Academic Press, 2009.

DENG W H, LI C P, LYU J H. Stability analysis of linear fractional differential system with multiple time delays[J]. Nonlinear Dynamics, 2007, 48(4):409-416.

LI C P, ZHAO Z G. Asymptotical stability analysis of linear fractional differential systems[J]. Journal of Shanghai University(English Edition), 2009, 13(3):197-206.

浏览量

197

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

带有扰动的分数阶反应扩散网络的事件触发拟同步（英文）