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Pattern dynamics analysis and parameter identification of time delay-driven rumor propagation model based on complex networks

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Abstract

Reaction–diffusion model is often used to describe the spatial distribution of network rumors. This paper establishes a reaction–diffusion rumor spreading model with media delay correction mechanism based on continuous space and discrete network space, respectively. By linearization, the condition of Turing instability under the influence of small delay is studied. The simulation results show when diffusion coefficient is extended periodically, the time stability of the pattern is broken, but the pattern type changes slightly. Finally, based on stable patterns, we estimate the unknown parameters of the system with the help of a statistical method, where the unknown parameters were set as infection rate \(\beta \) and cross-diffusion coefficient \(d_{21}\) for the system on the continuous space, as reconnection rate \(\rho \) and cross-diffusion coefficient \(d_{21}\) for the system on WS network. The final estimation error is within the ideal range.

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Data Availability

The data that support the findings of this study are available in the section of the numerical simulation.

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Acknowledgements

This research is partly supported by National Natural Science Foundation of China (Grant No. 12002135), Natural Science Foundation of Jiangsu Province (Grant No. BK20190836) and Young Science and Technology Talents Lifting Project of Jiangsu Association for Science and Technology.

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  1. School of Mathematical Sciences, Jiangsu University, Zhenjiang, 212013, China

    Linhe Zhu & Le He

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  1. Linhe Zhu
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Zhu, L., He, L. Pattern dynamics analysis and parameter identification of time delay-driven rumor propagation model based on complex networks. Nonlinear Dyn 110, 1935–1957 (2022). https://doi.org/10.1007/s11071-022-07717-8

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