Directional switches in network-organized swarming systems with delay.

Area of Science:

• Collective behavior in biological systems
• Network science and complex systems
• Theoretical ecology and evolutionary dynamics

Background:

• Coordinated directional switching is a key emergent behavior in moving biological groups.
• Existing models, like self-propelled particles, often overlook the crucial role of social interactions.
• Understanding how social factors modulate collective motion is essential for comprehending swarm dynamics.

Purpose of the Study:

• To investigate the influence of social interactions on ordered directional switching in swarming systems.
• To analyze how different network structures (homogeneous, heterogeneous, community-based, real-world) affect switching behavior.
• To determine the role of delayed interactions in regulating collective directional changes.

Main Methods:

• Theoretical estimation of mean switching time.
• Analysis across various network topologies: Erdös-Rényi, scale-free, community structures, and dolphin social networks.
• Examination of the interplay between social interaction strength, network properties, and time delays.

Main Results:

• Mean switching time is significantly regulated by the interplay of social and delayed interactions.
• Network properties (mean degree, heterogeneity, community structure) have differential effects on switching based on delay magnitude.
• For homogeneous networks, increased mean degree can suppress or promote switching depending on delay.
• For scale-free networks, degree heterogeneity's effect on switching reverses with delay.
• Community structures and delays in dolphin networks also modulate directional switching.

Conclusions:

• Social and delayed interactions are critical determinants of ordered directional switching in swarming systems.
• Network topology and delay magnitude jointly shape collective motion dynamics.
• Findings provide insights into the mechanisms underlying coordinated movement in biological groups.