Macroscopic descriptions of follower-leader systems

@article{Bernardi2021MacroscopicDO,
  title={Macroscopic descriptions of follower-leader systems},
  author={Sara Bernardi and Gissell Estrada-Rodriguez and Heiko Gimperlein and Kevin J. Painter},
  journal={Kinetic \& Related Models},
  year={2021}
}
The fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities remains a challenge from the perspective of both modelling and analysis. In this paper we clarify relevant continuous macroscopic model equations that describe follower-leader interactions for a swarm where these two populations are fixed. We study the behaviour of the swarm over long and short time scales to shed… 

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