Dynamic analysis and optimal control of a novel fractional-order 2I2SR rumor spreading model

被引：3
|
作者：
Ye, Maolin [1 ]
Li, Jiarong [1 ]
Jiang, Haijun [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830017, Peoples R China
来源：
NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2023年 / 28卷 / 05期
基金：
中国国家自然科学基金;
关键词：
fractional order; rumor spreading; stability; optimal control; STABILITY ANALYSIS; BIFURCATION; NETWORKS; DISEASE;
D O I：
10.15388/namc.2023.28.32599
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a novel fractional-order 2I2SR rumor spreading model is investigated. Firstly, the boundedness and uniqueness of solutions are proved. Then the next-generation matrix method is used to calculate the threshold. Furthermore, the stability of rumor-free/spreading equilibrium is discussed based on fractional-order Routh-Hurwitz stability criterion, Lyapunov function method, and invariance principle. Next, the necessary conditions for fractional optimal control are obtained. Finally, some numerical simulations are given to verify the results.
引用
收藏
页码：859 / 882
页数：24
相关论文
共 50 条
  • [41] Dynamic analysis of a fractional-order model for HIV with drug-resistance and CTL immune response
    Shi, Ruiqing
    Lu, Ting
    Wang, Cuihong
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 188 : 509 - 536
  • [42] Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic
    Jafari, Mohsen
    Kheiri, Hossein
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2022, 15 (05)
  • [43] Optimal fractional-order adaptive fuzzy control on inverted pendulum model
    Meena E. Girgis
    Ragia I. Badr
    International Journal of Dynamics and Control, 2021, 9 : 288 - 298
  • [44] Dynamic analysis of a fractional-order SIRS model with time delay
    Zhou, Xueyong
    Wang, Mengya
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (02): : 368 - 384
  • [45] Dynamic analysis of a novel time-lag four-dimensional fractional-order financial system
    Zhang, Zhe
    Zhang, Jing
    Cheng, Fanyong
    Liu, Feng
    Ding, Can
    ASIAN JOURNAL OF CONTROL, 2021, 23 (01) : 536 - 547
  • [46] Dynamic analysis of a fractional-order predator–prey model with harvesting
    Kshirod Sarkar
    Biswajit Mondal
    International Journal of Dynamics and Control, 2023, 11 : 1518 - 1531
  • [47] Global dynamics and optimal control of a nonlinear fractional-order cholera model
    Khatua, Anupam
    Kar, Tapan Kumar
    Jana, Soovoojeet
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2024, 29 (02): : 265 - 285
  • [48] Stability and optimal control analysis for studying the transmission dynamics of a fractional-order MSV epidemic model
    Ali, Hegagi Mohamed
    Ameen, Ismail Gad
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 434
  • [49] Dynamic analysis and modeling of a novel fractional-order hydro-turbine-generator unit
    Xu, Beibei
    Chen, Diyi
    Zhang, Hao
    Zhou, Rui
    NONLINEAR DYNAMICS, 2015, 81 (03) : 1263 - 1274
  • [50] Dynamic study of SIAISQVR - B fractional-order cholera model with control strategies in Cameroon Far North Region
    Nguiwa, Tchule
    Kolaye, Gabriel Guilsou
    Justin, Mibaile
    Moussa, Djaouda
    Betchewe, Gambo
    Mohamadou, Alidou
    CHAOS SOLITONS & FRACTALS, 2021, 144
12345