Collective Motion due to escape and pursuit response

TL;DR

This paper introduces a model of Brownian particles with pursuit and escape interactions, showing how these behaviors induce collective motion and affect macroscopic observables depending on their relative strengths.

Contribution

It presents a novel model linking pursuit and escape responses to collective motion, analyzing their impact on system dynamics and scaling behaviors.

Findings

Collective motion emerges from pursuit and escape interactions.

Macroscopic observables depend on the pursuit/escape strength ratio.

Migration speed scales with model parameters.

Abstract

Recent studies suggest that non-cooperative behavior such as cannibalism may also be a driving mechanism of collective motion. Motivated by these novel results we introduce a simple model of Brownian particles interacting by pursuit and escape interactions. We show the onset of collective motion due to escape and pursuit response of individuals and demonstrate how experimentally accessible macroscopic observables depend strongly on the ratio of the escape and pursuit strength. We analyze the different impact of the escape and pursuit response on the motion statistics and determine the scaling of the migration speed with model parameters.