In this paper, we propose a Boltzmann-type kinetic description of mass-varying interacting
multi-agent systems. Our agents are characterised by a microscopic state, which changes …

In this paper, we present a model describing the collective motion of birds. The model
introduces spontaneous changes in direction which are initialized by few agents, here …

We study a stochastic system of N interacting particles which models bimolecular chemical
reaction-diffusion. In this model, each particle i carries two attributes: the spatial location …

This chapter revises some modeling, analysis, and simulation contributions for crowd
dynamics using time-evolving measures. Two key features are strictly related to the use of …

We propose and analyse a variant of the recently introduced kinetic based optimization
method that incorporates ideas like survival-of-the-fittest and mutation strategies well-known …

A mean-field selective optimal control problem of multipopulation dynamics via transient
leadership is considered. The agents in the system are described by their spatial position …

The mean-field analysis of a multipopulation agent-based model is performed. The model
couples a particle dynamics driven by a nonlocal velocity with a Markov-type jump process …

We introduce the optimal transportation interpretation of the Kantorovich norm on thespace
of signed Radon measures with finite mass, based on a generalized Wasserstein …

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 …

A multi-step Lagrangian scheme at discrete times is proposed for the approximation of a
nonlinear continuity equation arising as a mean-field limit of spatially inhomogeneous …