20 citations · 33 across the 10 of their papers we have counts for
11 papers
Optimal long-run control of endemic infections: bang-bang threshold policies in a stochastic SIS model
Matthew Buckland, Sören Christensen, Philip Le Borne +1
We study long-run optimal intervention strategies for endemic infections in a stochastic susceptible-infected-susceptible (SIS) model. The proportion of infected individuals evolve…
On a Neutral Host-Virus Model with Recombination
Raphael Eichhorn, Cornelia Pokalyuk
Motivated by observations in sequence data of herpesviruses, we introduce a multi-locus model for the joint evolution of different genotypes in a virus population that is distribut…
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…
Inter-city infections and the role of size heterogeneity in containment strategies
Viktor Bezborodov, Tyll Krueger, Cornelia Pokalyuk +2
This study examines the effectiveness of regional lockdown strategies in mitigating pathogen spread across regional units, termed cities hereinafter. We develop simplified models t…
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…
Invasion of cooperative parasites in moderately structured host populations
Vianney Brouard, Cornelia Pokalyuk
Certain defense mechanisms of phages against the immune system of their bacterial host rely on cooperation of phages. Motivated by this example we analyse invasion probabilities of…
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…