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20092026
most citedAge-structured Models with Nonlocal Diffusion of Dirichlet Type, I: Principal Spectral Theory and Limiting Properties

1 citations · 1 across the 5 of their papers we have counts for

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math.DS2026

Heteroclinic cycles and long-time behavior in a singularly perturbed three-species Lotka--Volterra system

Arnaud Ducrot, Quentin Griette, Quang-Vinh Tran

We study a three-species competitive Lotka--Volterra system with cyclic dominance, motivated by rock--paper--scissors interactions in ecological communities. The model contains a s…

math.AP2026

On advective nonlocal operators: multiplicity of principal eigenpairs

Arnaud Ducrot, Quentin Griette, Xing Liang

We study the existence and multiplicity of principal eigenvalues and eigenfunctions for a periodically heterogeneous nonlocal dispersal model with advection. The operator we consid…