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math.AP2025
Slowly oscillating periodic solutions in a nonlinear Volterra equation with non-symmetric feedback
Quentin Griette, Franco Herrera
In this work we study a nonlinear Volterra equation with non-symmetric feedback that arises as a particular case of the Gurtin-MacCamy model in population dynamics. We are particul…
math.AP2025
Front propagation into unstable states for periodic monotone reaction-diffusion systems
Liangliang Deng, Arnaud Ducrot, Quentin Griette
In this paper we study the invasion fronts of spatially periodic monotone reaction-diffusion systems in a multi-dimensional setting. We study the pulsating traveling waves that con…