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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.DS2021
Epidemic models in measure spaces: persistence, concentration and oscillations
Jean-Baptiste Burie, Arnaud Ducrot, Quentin Griette
We investigate the long-time dynamics of a SIR epidemic model in the case of a population of pathogens infecting a homogeneous host population. The pathogen population is structure…