20 citations · 33 across the 10 of their papers we have counts for
7 papers · 1 filter
A spatial host-parasite model with host immunity: Survival and linear spread of parasites on
Sascha Franck, Cornelia Pokalyuk
We introduce a generalized version of the frog model to describe the invasion of a parasite population in a spatially structured immobile host population with host immunity on the…
On the fixation probability of an advantageous allele in a population with skewed offspring distribution
Matthias Birkner, Florin Boenkost, Iulia Dahmer +1
Consider an advantageous allele that arises in a haploid population of size evolving in continuous time according to a skewed reproduction mechanism, which generates under neut…
Spatial Invasion of Cooperative Parasites
Vianney Brouard, Cornelia Pokalyuk, Marco Seiler +1
In this paper we study invasion probabilities and invasion times of cooperative parasites spreading in spatially structured host populations. The spatial structure of the host popu…
Haldane's formula in Cannings models: The case of moderately strong selection
Florin Boenkost, Adrián González Casanova, Cornelia Pokalyuk +1
For a class of Cannings models we prove Haldane's formula, , for the fixation probability of a single beneficial mutant in the limit of large populati…
Haldane's formula in Cannings models: The case of moderately weak selection
Florin Boenkost, Adrián González Casanova, Cornelia Pokalyuk +1
We introduce a Cannings model with directional selection via a paintbox construction and establish a strong duality with the line counting process of a new \emph{Cannings ancestral…
Maintenance of diversity in a hierarchical host-parasite model with balancing selection and reinfection
Cornelia Pokalyuk, Anton Wakolbinger
Inspired by DNA data of the human cytomegalovirus we propose a model of a two-type parasite population distributed over its hosts. The parasite is capable to persist in its host ti…
The fixation time of a strongly beneficial allele in a structured population
Andreas Greven, Peter Pfaffelhuber, Cornelia Pokalyuk +1
For a beneficial allele which enters a large unstructured population and eventually goes to fixation, it is known that the time to fixation is approximately for a larg…