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

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-06-30 DOI:10.15388/namc.2023.28.32599

Maolin Ye, Jiarong Li, Haijun Jiang

引用次数: 1

Abstract

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.

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一种新的分数阶2I2SR谣言传播模型的动态分析与最优控制

本文研究了一种新的分数阶2I2SR谣言传播模型。首先，证明了解的有界性和唯一性。然后使用下一代矩阵方法来计算阈值。此外，基于分数阶Routh–Hurwitz稳定性准则、Lyapunov函数方法和不变性原理，讨论了无谣言/传播平衡的稳定性。其次，得到了分数最优控制的必要条件。最后，通过数值模拟对结果进行了验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.