Speaker
Josef Tkadlec
(Charles University, Prague)
Description
Moran process is a classic random process that models the competition of two or more types of individuals on a network-structured population. The individuals reproduce, the offspring migrate along the edges of the network, and they replace the neighbors. In the absence of mutation, one of the types eventually triumphs over the whole network. We survey the existing results on the time (that is, the number of steps of the Moran process) until this occurs. We consider various regimes (directed vs. undirected networks, neutral vs. strong selection, Birth-death vs. death-Birth updating) and highlight some outstanding open questions.
