Dynamic analysis and optimal control of a novel fractional-order 2I2SR rumor spreading model
نویسندگان
چکیده
In this paper, a novel fractional-order 2I2SR rumor spreading model is investigated. Firstly, the boundedness and uniqueness of solutions are proved. Then next-generation matrix method used to calculate threshold. Furthermore, stability rumor-free/spreading equilibrium discussed based on Routh–Hurwitz criterion, Lyapunov function method, invariance principle. Next, necessary conditions for fractional optimal control obtained. Finally, some numerical simulations given verify results.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-Modelling and Control
سال: 2023
ISSN: ['1392-5113', '2335-8963']
DOI: https://doi.org/10.15388/namc.2023.28.32599