Pattern formation in a rumor model under dispersion

Abstract Some instabilities often trigger pattern formation in reaction diffusion systems, offering valuable insights on the underlying dynamics and interactions driving the emergence of patterns in numerous animate and inanimate systems. We investigate formation of Turing patterns resulting in a generalized two-compartment (Innocent-Spreader) model for rumor spreading through spatial dispersion. Our analysis reveals the significance of diffusion on the evolution of holes from stripes and as well as the continuous growth of spots. Especially, we explore the role of some crucial parameters, including the rate of media correction, inhibition, forgetting, and self-correction on controlling the spreading of rumors. Finally, we check how initial conditions influence the emergence of mixed-mode patterns, characterized by a low diffusion rate.

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Publication Details

Journal
The European Physical Journal Special Topics
Published
2025-11-15
DOI
https://doi.org/10.1140/epjs/s11734-025-02007-x
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
0.00

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article

Pattern formation in a rumor model under dispersion

Naresh Saha, Chittaranjan Hens, Tomasz Kapitaniak, Syamal K. Dana et al.
The European Physical Journal Special Topics
Nonlinear Dynamics and Pattern Formation
article

Pattern formation in a rumor model under dispersion

Naresh Saha, Chittaranjan Hens, Tomasz Kapitaniak, Syamal K. Dana, Agnieszka Chudzik, Yiran Li, Subrata Ghosh, Ranjib Banerjee
article en

Abstract

Abstract Some instabilities often trigger pattern formation in reaction diffusion systems, offering valuable insights on the underlying dynamics and interactions driving the emergence of patterns in numerous animate and inanimate systems. We investigate formation of Turing patterns resulting in a generalized two-compartment (Innocent-Spreader) model for rumor spreading through spatial dispersion. Our analysis reveals the significance of diffusion on the evolution of holes from stripes and as well as the continuous growth of spots. Especially, we explore the role of some crucial parameters, including the rate of media correction, inhibition, forgetting, and self-correction on controlling the spreading of rumors. Finally, we check how initial conditions influence the emergence of mixed-mode patterns, characterized by a low diffusion rate.

The European Physical Journal Special Topics
BML Munjal University (IN), Jadavpur University (IN), Lodz University of Technology (PL), International Institute of Information Technology (IN), Fudan University (CN), University of Hyderabad (IN), Shanghai Institute for Science of Science (CN), Shanghai Center for Brain Science and Brain-Inspired Technology (CN), International Institute of Information Technology, Hyderabad (IN), Dr. Hari Singh Gour University (IN)
Narodowym Centrum Nauki
Openalex Percentile: Top 60%
Nonlinear Dynamics and Pattern Formation
DOIOpen Access PDFOpenAlex
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