17 citations · 36 across the 7 of their papers we have counts for
7 papers
Fixation and stationary times for the -Wright-Fisher process
Airam Blancas, Adrián González Casanova, Sebastian Hummel +1
We study the fixation and stationary behavior of the Lambda-Wright-Fisher process with parent-independent mutation and finitely many types, a jump-diffusion model for allele freque…
Mean-field interacting multi-type birth-death processes with a view to applications in phylodynamics
William S. DeWitt, Steven N. Evans, Ella Hiesmayr +1
Multi-type birth-death processes underlie approaches for inferring evolutionary dynamics from phylogenetic trees across biological scales, ranging from deep-time species macroevolu…
-Wright--Fisher processes with general selection and opposing environmental effects: fixation and coexistence
Fernando Cordero, Sebastian Hummel, Grégoire Véchambre
Our results characterize the long-term behavior for a broad class of -Wright--Fisher processes with frequency-dependent and environmental selection. In particular, we reveal a r…
Lines of descent in a Moran model with frequency-dependent selection and mutation
Ellen Baake, Luigi Esercito, Sebastian Hummel
We study ancestral structures for the two-type Moran model with mutation and frequency-dependent selection under the nonlinear dominance or fittest-type-wins scheme. Under appropri…
General selection models: Bernstein duality and minimal ancestral structures
Fernando Cordero, Sebastian Hummel, Emmanuel Schertzer
-Wright--Fisher processes provide a robust framework to describe the type-frequency evolution of an infinite neutral population. We add a polynomial drift to the corresponding s…
Lines of descent in the deterministic mutation-selection model with pairwise interaction
Ellen Baake, Fernando Cordero, Sebastian Hummel
We consider the mutation--selection differential equation with pairwise interaction (or, equivalently, the diploid mutation--selection equation) and establish the corresponding anc…