91 citations · 191 across the 3 of their papers we have counts for
6 papers
Topological phase transition in coupled rock-paper-scissor cycles
Johannes Knebel, Philipp M. Geiger, Erwin Frey
A hallmark of topological phases is the occurrence of topologically protected modes at the system`s boundary. Here we find topological phases in the antisymmetric Lotka-Volterra eq…
Topologically robust zero-sum games and Pfaffian orientation -- How network topology determines the long-time dynamics of the antisymmetric Lotka-Volterra equation
Philipp M. Geiger, Johannes Knebel, Erwin Frey
To explore how the topology of interaction networks determines the robustness of dynamical systems, we study the antisymmetric Lotka-Volterra equation (ALVE). The ALVE is the repli…
Mean-field equation for a stochastic many-particle model of quorum-sensing microbial populations
Erwin Frey, Johannes Knebel, Peter Pickl
We prove a mean-field equation for the dynamics of quorum-sensing microbial populations. In the stochastic many-particle process, individuals of a population produce public good mo…
Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers
Matthias Bauer, Johannes Knebel, Matthias Lechner +2
Autoinducers are small signaling molecules that mediate intercellular communication in microbial populations and trigger coordinated gene expression via "quorum sensing". Elucidati…
Evolutionary games of condensates in coupled birth-death processes
Johannes Knebel, Markus F. Weber, Torben Krueger +1
Condensation phenomena arise through a collective behaviour of particles. They are observed in both classical and quantum systems, ranging from the formation of traffic jams in mas…
Coexistence and Survival in Conservative Lotka-Volterra Networks
Johannes Knebel, Torben Krüger, Markus F. Weber +1
Analyzing coexistence and survival scenarios of Lotka-Volterra (LV) networks in which the total biomass is conserved is of vital importance for the characterization of long-term dy…