Confronting the paradox of enrichment to the metacommunity perspective.

Autor: Céline Hauzy, Grégoire Nadin, Elsa Canard, Isabelle Gounand, Nicolas Mouquet, Bo Ebenman

Publikováno v: PLoS ONE, Vol 8, Iss 12, p e82969 (2013)

Resource enrichment can potentially destabilize predator-prey dynamics. This phenomenon historically referred as the "paradox of enrichment" has mostly been explored in spatially homogenous environments. However, many predator-prey communities exchan

Externí odkaz: https://doaj.org/article/c57516f23bba4d06bcc04047e68e9d4b

Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate

Autor: Idriss Mazari, Grégoire Nadin, Yannick Privat

Publikováno v: Communications in Partial Differential Equations
Communications in Partial Differential Equations, 2021, 47 (4), pp.797-828. ⟨10.1080/03605302.2021.2007533⟩

International audience; In this article, we give an in-depth analysis of the problem of optimising the total population size for a standard logistic-diffusive model. This optimisation problem stems from the study of spatial ecology and amounts to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18220c2d6de7a8b67a08f0f6a9c38886
https://doi.org/10.1080/03605302.2021.2007533

Optimization of the 𝐿¹ norm of the solution of a Fisher-KPP equations in the small diffusivity regime

Autor: Grégoire Nadin

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::cbfebfd392755f10ba0a05b8b56daa80
https://doi.org/10.1090/proc/16164

A Turing mechanism in order to explain the patchy nature of Crohn’s disease

Autor: Eric Ogier-Denis, Ana Isis Toledo, Hatem Zaag, Grégoire Nadin

Publikováno v: Journal of Mathematical Biology
Journal of Mathematical Biology, Springer Verlag (Germany), 2021, 83 (2), ⟨10.1007/s00285-021-01635-w⟩

Crohn's disease is an inflammatory bowel disease (IBD) that is not well understood. In particular, unlike other IBDs, the inflamed parts of the intestine compromise deep layers of the tissue and are not continuous but separated and distributed throug

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3df011ea0267858c62d438b17ea5eebf
https://doi.org/10.1007/s00285-021-01635-w

Shape optimization of a weighted two-phase Dirichlet eigenvalue

Autor: Idriss Mazari, Yannick Privat, Grégoire Nadin

Publikováno v: Archive for Rational Mechanics and Analysis
Archive for Rational Mechanics and Analysis, Springer Verlag, In press
Archive for Rational Mechanics and Analysis, 2022, 243, pp.95-137. ⟨10.1007/s00205-021-01726-4⟩

This article is concerned with a spectral optimization problem: in a smooth bounded domain $${\Omega }$$ , for a bounded function m and a nonnegative parameter $$\alpha $$ , consider the first eigenvalue $$\lambda _\alpha (m)$$ of the operator $${\ma

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d88ea35294ab7baaf4f21a2256aa1d02
https://hal.archives-ouvertes.fr/hal-02432387/file/ArticleDrifted_MNP.pdf