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
  • [21] Stability analysis of I2S2R rumor spreading model in complex networks
    Zhang, Yuhuai
    Zhu, Jianjun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 503 : 862 - 881
  • [22] Dynamic analysis and optimal control of a fractional order model for hand-foot-mouth Disease
    Ruiqing Shi
    Ting Lu
    Journal of Applied Mathematics and Computing, 2020, 64 : 565 - 590
  • [23] Optimal fractional-order adaptive fuzzy control on inverted pendulum model
    Girgis, Meena E.
    Badr, Ragia I.
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2021, 9 (01) : 288 - 298
  • [24] Kinetic Behavior and Optimal Control of a Fractional-Order Hepatitis B Model
    Xue, Tingting
    Fan, Xiaolin
    Xu, Yan
    MATHEMATICS, 2023, 11 (17)
  • [25] ANALYSIS OF A FRACTIONAL ORDER MATHEMATICAL MODEL FOR TUBERCULOSIS WITH OPTIMAL CONTROL
    Shi, Ruiqing
    Ren, Jianing
    Wang, Cuihong
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
  • [26] DYNAMIC ANALYSIS AND OPTIMAL CONTROL OF A FRACTIONAL ORDER HCV MODEL WITH IMMUNE RESPONSE
    Sun, Yu
    Shi, Ruiqing
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2025, 2025 : 1 - 26
  • [27] Dynamic analysis and optimal control of a fractional order HIV/HTLV co-infection model with HIV-specific CTL immune response
    Shi, Ruiqing
    Zhang, Yihong
    AIMS MATHEMATICS, 2024, 9 (04): : 9455 - 9493
  • [28] Unveiling the dynamics of meningitis infections: a comprehensive study of a novel fractional-order model with optimal control strategies
    Elsonbaty, Amr
    Al-shami, Tareq M.
    El-Mesady, A.
    BOUNDARY VALUE PROBLEMS, 2025, 2025 (01):
  • [29] Dynamic analysis and bifurcation control of a fractional-order cassava mosaic disease model
    Song, Caihong
    Li, Ning
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (02) : 1705 - 1730
  • [30] Optimal control of a fractional-order model for the HIV/AIDS epidemic
    Kheiri, Hossein
    Jafari, Mohsen
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2018, 11 (07)
12345