Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Menci, Marta"'
Publikováno v:
Math. Comput. Simulation, 228:362-385, 2025
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 characterized by their position and velocity plus a continuous paramete
Externí odkaz:
http://arxiv.org/abs/2310.19700
Publikováno v:
Mathematics and Mechanics of Complex Systems, In press
A general class of hybrid models has been introduced recently, gathering the advantages multiscale descriptions. Concerning biological applications, the particular coupled structure fits to collective cell migrations and pattern formation scenarios.
Externí odkaz:
http://arxiv.org/abs/2306.12835
Publikováno v:
In Mathematics and Computers in Simulation February 2025 228:362-385
Publikováno v:
Mathematical Modeling and Computing, 9 (2022), 555-566
In this paper we devise a microscopic (agent-based) mathematical model for reproducing crowd behaviour in a specific scenario: a number of pedestrians, consisting of numerous social groups, flow along a corridor until a gate located at the end of the
Externí odkaz:
http://arxiv.org/abs/2202.05308
Publikováno v:
Communications in Mathematical Sciences, 21(1), 65-82 (2023)
This paper investigates the model for pedestrian flow firstly proposed in [Cristiani et al., DOI:10.1137/140962413]. The model assumes that each individual in the crowd moves in a known domain, aiming at minimizing a given cost functional. Both the p
Externí odkaz:
http://arxiv.org/abs/2108.00086
Publikováno v:
J. Math. Biol. 83 (2021), 45
Starting from recent experimental observations of starlings and jackdaws, we propose a minimal agent-based mathematical model for bird flocks based on a system of second-order delayed stochastic differential equations with discontinuous (both in spac
Externí odkaz:
http://arxiv.org/abs/2010.01990
Publikováno v:
In Journal of Differential Equations 15 July 2023 361:288-338
Autor:
Menci, Marta, Papi, Marco
In this paper we propose local and global existence results for the solution of systems characterized by the coupling of ODEs and PDEs. The coexistence of distinct mathematical formalisms represents the main feature of hybrid approaches, in which the
Externí odkaz:
http://arxiv.org/abs/1807.03025
Publikováno v:
In Medical Engineering and Physics December 2021 98:140-150
Publikováno v:
Discrete & Continuous Dynamical Systems - B25(1): 443-472, 2020
In this paper we propose and study a hybrid discrete in continuous mathematical model of collective motion under alignment and chemotaxis effect. Starting from the paper by Di Costanzo et al (2015a), in which the Cucker-Smale model (Cucker and Smale,
Externí odkaz:
http://arxiv.org/abs/1507.02980