Stability and Hopf bifurcation analysis of multi-lingual rumor spreading model with nonlinear inhibition mechanism

Jinling Wang, Haijun Jiang, Cheng Hu, Zhiyong Yu and Jiarong Li

Chaos, Solitons & Fractals, 2021, vol. 153, issue P2

Abstract: The stability and hopf bifurcation of the multi-lingual rumor spreading model are mainly studied in this paper. A nonlinear inhibition mechanism is introduced to formulate an IS2R2 model with concerning the cross propagation in the multi-lingual environment. Next, the existence and stability of equilibrium points are analyzed systematically here. Meanwhile, choosing the key parameter and time delay of inhibition functions as bifurcation parameters, the characteristics of Hopf bifurcation are further displayed through certain critical values. Besides, an optimal control strategy involving inhibition functions is designed, and simulated via forward-backward sweep algorithm. Finally, the comparative analysis of various parameters in the numerical simulation is presented to justify our theoretical results.

Keywords: Multi-lingual rumor spreading; Cross propagation; Inhibition mechanism; Stability; Hopf bifurcation (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008183

DOI: 10.1016/j.chaos.2021.111464

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