Year: 2025
Type: article
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.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,790
Funder: Narodowym Centrum Nauki
Awards: G2525515251, G2619721941
OpenAlex ID: W4416247293