A branching particle system as a model of FKPP fronts
Julie TOURNIAIRE
Université de Franche-Comté
Date(s) : 03/06/2025 iCal
14h30 - 15h30
The FKPP equation is a common model in population dynamics,
describing how a population spreads and grows over time and space,
resulting in wave-like patterns.
Recent studies by Birzu, Hallatschek and Korolev
on the noisy FKPP equation with Allee effects (or cooperation)
suggest the existence of three classes of fluctuating wavefronts:
pulled, semipushed and fully pushed fronts.
In this talk, I will introduce an analytically tractable model
for fluctuating fronts, describing the internal mechanisms
that drive the invasion of a habitat by a cooperating population.
I will then use this model to explain
how such mechanisms shape the genealogy of the population.
Emplacement
I2M Saint-Charles - Salle de séminaire
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