Pré-Publication, Document De Travail Année : 2025

Stability of non-conservative cross diffusion model and approximation by stochastic particle systems

Résumé

We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic large population models, where individuals of two species move, reproduce and die with rates sensitive to the local densities of the species. Quantitative estimates are obtained when the population per site is large, relying on the development of stability estimates via duality approach and large deviation estimates on the birth and death events, which are of independent interest.

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Dates et versions

hal-04975578 , version 1 (04-03-2025)
hal-04975578 , version 2 (07-10-2025)

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  • HAL Id : hal-04975578 , version 1

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Vincent Bansaye, Alexandre Bertolino, Ayman Moussa. Stability of non-conservative cross diffusion model and approximation by stochastic particle systems. 2025. ⟨hal-04975578v1⟩
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