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math.PR2025
Crossing a fitness valley in a changing environment: With and without pit stop
Manuel Esser, Anna Kraut
We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation. Biologically motivated by the influence of seasons or th…
math.PR2024
A general multi-scale description of metastable adaptive motion across fitness valleys
Manuel Esser, Anna Kraut
We consider a stochastic individual-based model of adaptive dynamics on a finite trait graph . The evolution is driven by a linear birth rate, a density dependent logistic…