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
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