Year: 2025
Type: article
Abstract: Collective motion in biological systems often exhibits emergent orderly directional switching behavior. The classical Vicsek model can partially simulate this behavior but fails to fully account for the complex effects arising from the interplay of individual trade-off between speed and movement direction, social interactions, and time delays. In this paper, we propose a mathematical framework to compute the average directional switching time in a time-delay system that incorporates speed-direction trade-offs. Using this framework, we analyze the effects of time delay and social interactions on collective motion. Theoretical and numerical results indicate the existence of an optimal speed-direction trade-off and social interaction strength that maximize the orderliness of directional switching in the system.
Source: Scientia Sinica Mathematica
Authors: Wang Jiayi, Li Wang, Yin Xiangxin, Zhao Donghua, Sun Yongzheng
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7077075669