Consensus dynamics of behavioral swarm models with random batch interactions and external noises

We study the consensus dynamics of discrete-time behavioral swarm (DBS) models with random batch interactions and external noises. The proposed models describe behavioral swarms where each particle is characterized by its activity (level), spatial position, and heading angle. Interactions among particles are governed by the random batch method (RBM), which significantly reduces computational complexity by restricting communication to dynamically formed batches of the whole swarm. We provide seve