Speaker: Cornelia Pokalyuk (University of Lübeck)
Title: Invasion of cooperative parasites in structured host populations
Abstract: Certain defense mechanisms of phages against the immune system of their bacterial host rely on cooperation of phages. Motivated by this example we analysed in [BP] the spread of cooperative parasites in hostpopulations that were structured according to a configuration model. Building on these results we consider the case of a host populationwhich is (genuinely spatially) structured according to a random geometric graph. We identify the spatial scale at which invasion of parasites turns from being an unlikely to a highly probable event and give in the critical regime upper and lower bounds on the invasion probability.
This talk is based on joint work with Vianney Brouard, Marco Seiler and Hung Tran.
[BP] V. Brouard and C. Pokalyuk., Invasion of parasites in moderately structured host populations, Stoch. Proc. Appl., 153, pp 221-263 (2022)
[BPST] V. Brouard, C. Pokalyuk, M. Seiler and H. Tran. Spatial Invasionof Cooperative Parasites, Preprint: arXiv:2308.07397