Speaker
Lenka Kopfova
(ISTA)
Description
Lenka Kopfová, Josef Tkadlec
We study modified version of the Moran process that corresponds to the strong selection, as in the dynamics of invasive species. In this process, only the mutant individuals spread and eventually conquer the whole population. The key quantity that we study is the so-called fixation time, which is the expected time until all individuals become mutants. We give tight upper and lower bounds for fixation time on a general population structure and refine them for some classes. Additionally, we compute the precise fixation times on some specific population structures.
