The mean-dield 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 on the probability that each agent has of belonging to a given population. A general functional analytic framework for the well-posedness of the problem is established, and some concrete applications are presented, both in the cases of a discrete and continuous set of labels. In the particular case of a leader-follower dynamics, the existence and approximation results recently obtained in [G. Albi et al., Math. Models Methods Appl. Sci., 29 (2019), pp. 633{679] are recovered and generalized as a byproduct of the abstract approach proposed.

Mean-field analysis of multipopulation dynamics with label switching / Morandotti, M.; Solombrino, F.. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 52:2(2020), pp. 1427-1462. [10.1137/19M1273426]

Mean-field analysis of multipopulation dynamics with label switching

Morandotti M.;
2020

Abstract

The mean-dield 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 on the probability that each agent has of belonging to a given population. A general functional analytic framework for the well-posedness of the problem is established, and some concrete applications are presented, both in the cases of a discrete and continuous set of labels. In the particular case of a leader-follower dynamics, the existence and approximation results recently obtained in [G. Albi et al., Math. Models Methods Appl. Sci., 29 (2019), pp. 633{679] are recovered and generalized as a byproduct of the abstract approach proposed.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2850824