Collective Dynamics of Swarms with a New AttractionRepulsion Function

Abstract EN

We specify an “individual-based” continuous-time model for swarm aggregation in n-dimensional Euclidean space.

We show that the swarm is completely stable, and the center of the swarm is stationary.

Numerical simulations indicate that the individuals will form a stable and cohesive swarm, and under the attraction/repulsion function, the bound of the swarm size will increase as the number of individuals increases.