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pro vyhledávání: '"Tréton, Samuel"'
Autor:
Ducasse, Romain, Tréton, Samuel
We analyze a model designed to describe the spread and accumulation of opinions in a population. Inspired by the social contagion paradigm, our model is built on the classical SIR model of Kermack and McKendrick and consists in a system of reaction-d
Externí odkaz:
http://arxiv.org/abs/2412.10000
We recover the so-called field-road diffusion model as the hydrodynamic limit of an interacting particle system. The former consists of two parabolic PDEs posed on two sets of different dimensions (a "field" and a "road" in a population dynamics cont
Externí odkaz:
http://arxiv.org/abs/2406.14093
Autor:
Tréton, Samuel
We analyze a reaction-diffusion system on $\mathbb{R}^{N}$ which models the dispersal of individuals between two exchanging environments for its diffusive component and incorporates a Fujita-type growth for its reactive component. The originality of
Externí odkaz:
http://arxiv.org/abs/2307.00843
We consider the linear field-road system, a model for fast diffusion channels in population dynamics and ecology. This system takes the form of a system of PDEs set on domains of different dimensions, with exchange boundary conditions. Despite the in
Externí odkaz:
http://arxiv.org/abs/2207.01859
Publikováno v:
In Journal of Differential Equations 15 September 2023 367:332-365
Akademický článek
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