Evolutionary rescue and habitat choice (together with François Blanquart, Hildegard Uecker and Florence Débarre)
In a spatially structured environment consisting of patches (all connected to each other), we computed the probability of establishment of a mutant in a heterogeneous environment. Dependent on the patch type (good or bad) the mutant is either disadvantageous (good patches) or advantageous (bad patches) when compared to the wild type. Based on this establishment probability we subsequently approximated the probability for evolutionary rescue in the situation where one patch after another deteriorate, i.e. turn from a good state to a bad state.
The effect of habitat choice on evolutionary rescue in subdivided populations, The American Naturalist, 2021 (view online)
Spatial models of cooperation (together with Peter Pfaffelhuber)
We studied the impact of space on a typical cooperator-defector interaction, i.e. defectors have a larger basal birth rate than cooperators and cooperators boost the birth rate (e.g. through providing a public good) of their neighbor. We found phase transitions in all dimensions and an explicit boundary in one dimension, thus showing that nearest neighbor interactions support the emergence and maintenance of cooperation.
Publication: A spatial model for selection and cooperation, Journal of Applied Probability, 2017 (view online)
See also my Dissertation: Phenotypic heterogeneity in bacterial populations – a mathematical study, 2016 (view online)