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math-ph2023★ 6 cited
Kinetic description and macroscopic limit of swarming dynamics with continuous leader-follower transitions
Emiliano Cristiani, Nadia Loy, Marta Menci +1
In this paper, we derive a kinetic description of swarming particle dynamics in an interacting multi-agent system featuring emerging leaders and followers. Agents are classically c…
math-ph2023
Kinetic models for systems of interacting agents with multiple microscopic states
Marzia Bisi, Nadia Loy
We propose and investigate general kinetic models %of Boltzmann type with transition probabilities that can describe the simultaneous change of multiple microscopic states of the i…