Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Loy, Nadia"'
Autor:
Franceschi, Jonathan, Loy, Nadia
In this paper we introduce the optimal control of a kinetic model describing agents who migrate on a graph and interact within its nodes exchanging a physical quantity. As a prototype model, we consider the spread of an infectious disease on a graph,
Externí odkaz:
http://arxiv.org/abs/2409.13542
Autor:
Loy, Nadia, Perthame, Benoit
Highly concentrated patterns have been observed in a spatially heterogeneous, nonlocal, model of BGK type implementing a velocity-jump process. We study both a linear and a nonlinear case and describe the concentration profile. In particular, we anal
Externí odkaz:
http://arxiv.org/abs/2401.17176
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
Autor:
Bisi, Marzia, Loy, Nadia
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 interacting agents. These models can be applied to many problems in soc
Externí odkaz:
http://arxiv.org/abs/2302.11540
Publikováno v:
J. Math. Biol., 86(4), 61:1-28, 2023
The viral load is known to be a chief predictor of the risk of transmission of infectious diseases. In this work, we investigate the role of the individuals' viral load in the disease transmission by proposing a new susceptible-infectious-recovered e
Externí odkaz:
http://arxiv.org/abs/2208.12004
Autor:
Conte, Martina, Loy, Nadia
We propose a non-local model for contact guidance and steric hindrance depending on a single external cue, namely the extracellular matrix, that affects in a twofold way the polarization and speed of motion of the cells. We start from a microscopic d
Externí odkaz:
http://arxiv.org/abs/2207.01930
Publikováno v:
In Mathematics and Computers in Simulation February 2025 228:362-385
Publikováno v:
Philos. Trans. Roy. Soc. A, 380(2224):20210158/1-15, 2022
In this paper, we propose a Boltzmann-type kinetic description of opinion formation on social networks, which takes into account a general connectivity distribution of the individuals. We consider opinion exchange processes inspired by the Sznajd mod
Externí odkaz:
http://arxiv.org/abs/2108.02643
Autor:
Loy, Nadia, Preziosi, Luigi
Experiments show that when a monolayer of cells cultured on an elastic substrate is subject to a cyclic stretch, cells tend to re-orient either perpendicularly or at an oblique angle with respect to the main direction of the stretch. Due to stochasti
Externí odkaz:
http://arxiv.org/abs/2108.00894
Publikováno v:
Netw. Heterog. Media, 17(3):467-494, 2022
Mathematical models are formal and simplified representations of the knowledge related to a phenomenon. In classical epidemic models, a neglected aspect is the heterogeneity of disease transmission and progression linked to the viral load of each inf
Externí odkaz:
http://arxiv.org/abs/2106.14480