4 papers
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…
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…
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…
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…