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Simulation de la densité limite de champ moyen pour des populations hétérogènes avec interactions

Abstract : The heterogeneous population models considered here consist in dynamical systems, whose initial conditions are independent and identically distributed random variables, representing trajectories of individuals interacting with each other through a potential function. The mean-field distribution characterising the dynamics of an infinitely-crowded population is then well-defined. A methodology to estimate this distribution, based on Gaussian processes regression, is presented and applied to a models of plants population in competition for light.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-02425831
Contributor : Antonin Della Noce <>
Submitted on : Tuesday, December 31, 2019 - 2:40:44 PM
Last modification on : Thursday, July 2, 2020 - 9:12:02 AM
Long-term archiving on: : Wednesday, April 1, 2020 - 2:24:05 PM

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  • HAL Id : hal-02425831, version 1

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Antonin Della Noce, Amélie Mathieu, Paul-Henry Cournède. Simulation de la densité limite de champ moyen pour des populations hétérogènes avec interactions. 22ème Rencontre du Non-Linéaire, Mar 2019, Paris, France. ⟨hal-02425831⟩

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