Dynamic analysis and optimal control of a stochastic information spreading model considering super-spreader and implicit exposer with random parametric perturbations

نویسندگان

چکیده

Environmental factors in social systems affect information spreading at all times. This paper proposes a stochastic S 2 EIR model that considers the presence of super-spreaders and implicit exposers spreading, as well perturbation parameters. The existence global positive solution using Itô′s formula is then demonstrated. Sufficient conditions for disappearance smooth distribution are calculated by Borel–Cantelli lemma strong law large numbers. Furthermore, optimal control strategy proposed Hamiltonian function. results theoretical analysis supported numerical simulations compared to parameter variations deterministic model. this study indicate white noise facilitates spread information. intensity proportional fluctuation spreading. Controlling random parameters can effectively facilitate For information, randomness complexity system should be utilized increase In contrast, negative suppressed greatest extent possible limit dissemination.

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ژورنال

عنوان ژورنال: Frontiers in Physics

سال: 2023

ISSN: ['2296-424X']

DOI: https://doi.org/10.3389/fphy.2023.1194804