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math.AP2026
Bistable wavefronts in the Gurtin-MacCamy population model
Quentin Griette, Franco Herrera, Hao Kang
In this paper we prove the existence of monotone traveling wave solutions for an age-structured population model with a monotone and bistable nonlinearity. We formulate the problem…
math.AP2026
Sharp threshold dynamics for a bistable age-structured population model
Quentin Griette, Franco Herrera
This paper is devoted to the long-term dynamics of solutions to the Gurtin-MacCamy population model with a bistable birth function. We consider a one-parameter monotone family of i…
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…