1 citations · 4 across the 9 of their papers we have counts for
10 papers
Mutant invasion in stochastic individual-based models with cyclic resident dynamics
Sylvain Billiard, Chloë Mian, Charline Smadi +1
When a resident community oscillates, can a rare mutant invade, and with which probability? We study a multitype birth-and-death process with interactions, in which population size…
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…
Percolation in lattice -neighbor graphs
Benedikt Jahnel, Jonas Köppl, Bas Lodewijks +1
We define a random graph obtained via connecting each point of independently to a fixed number of its nearest neighbors via a directed edge. We ca…
Scaling limit of an adaptive contact process
Adrián González Casanova, András Tóbiás, Daniel Valesin
We introduce and study an interacting particle system evolving on the -dimensional torus . Each vertex of the torus can be either empty or occupied by…
The wave speed of an FKPP equation with jumps via coordinated branching
Tommaso Rosati, András Tóbiás
We consider a Fisher-KPP equation with nonlinear selection driven by a Poisson random measure. We prove that the equation admits a unique wave speed given by $\…
Microbial virus epidemics in the presence of contact-mediated host dormancy
Jochen Blath, András Tóbiás
We investigate a stochastic individual-based model for the population dynamics of host-virus systems where the microbial hosts may transition into a dormant state upon contact with…
A Stochastic Adaptive Dynamics Model for Bacterial Populations with Mutation, Dormancy and Transfer
Jochen Blath, Tobias Paul, András Tóbiás
This paper introduces a stochastic adaptive dynamics model for the interplay of several crucial traits and mechanisms in bacterial evolution, namely dormancy, horizontal gene trans…