4 papers
Emergence of microbial host dormancy during a persistent virus epidemic
Jochen Blath, András Tóbiás
We study a minimal stochastic individual-based model for a microbial population challenged by a persistent (lytic) virus epidemic. We focus on the situation in which the resident m…
Resident fitness computation in linear time and other algorithmic aspects of interacting trajectories
Katalin Friedl, Viktória Nemkin, András Tóbiás
Systems of interacting trajectories were recently studied in~\cite{HGSTW24}. Such a system of -valued piecewise linear trajectories arises as a scaling limit of the system o…
Renewal contact process with dormancy
Noemi Kurt, Michel Reitmeier, András Tóbiás
We consider the contact process with dormancy, where wake-up times follow a renewal process. Without infection between dormant individuals, we show that the process under certain c…
From clonal interference to Poissonian interacting trajectories
Felix Hermann, Adrián Gonzalez Casanova, Renato Soares dos Santos +2
We consider a population whose size is fixed over the generations, and in which random beneficial mutations arrive at a rate of order per generation. In this so-call…