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

Stability and Hopf bifurcation analysis of multi-lingual rumor spreading model with nonlinear inhibition mechanism. (English) Zbl 1498.91329

Chaos Solitons Fractals 153, Part 2, Article ID 111464, 17 p. (2021).
Summary: 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.

Cited in 6 Documents

MSC:

91D30 Social networks; opinion dynamics
34C60 Qualitative investigation and simulation of ordinary differential equation models
34K60 Qualitative investigation and simulation of models involving functional-differential equations
49K15 Optimality conditions for problems involving ordinary differential equations
49N90 Applications of optimal control and differential games

Keywords:

multi-lingual rumor spreading; cross propagation; inhibition mechanism; stability; Hopf bifurcation
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Full Text: DOI

References:

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