Rock is wrapped by paper, paper is cut by scissors and scissors are crushed by rock. This
simple game is popular among children and adults to decide on trivial disputes that have no …

Spatially extended population dynamics models that incorporate demographic noise serve
as case studies for the crucial role of fluctuations and correlations in biological systems …

Lotka's seminal work (Lotka AJ, Proc. Natl. Acad. Sci. USA, 6 (1920) 410)" on certain
rhythmic relations" is already one hundred years old, but the research activity about pattern …

Evolutionary dynamical models for cyclic competitions of three species (eg, rock, paper and
scissors, or RPS) provide a paradigm, at the microscopic level of individual interactions, to …

We revisit the problem of the predominance of the “weakest” species in the context of Lotka-
Volterra and May-Leonard formulations of a spatial stochastic rock-paper-scissors model in …

The rock-paper-scissors game is a paradigmatic model for biodiversity, with applications
ranging from microbial populations to human societies. Research has shown, however, that …

A five-species predator-prey model is studied on a square lattice where each species has
two prey and two predators on the analogy to the rock-paper-scissors-lizard-Spock game …

If rock beats scissors and scissors beat paper, one might assume that rock beats paper too.
But this is not the case for intransitive relationships that make up the famous rock-paper …

Cyclic dominance between species may yield spiral waves that are known to provide a
mechanism enabling persistent species coexistence. This observation holds true even in …

Stochastic simulations of cyclic three-species spatial predator-prey models are usually
performed in square lattices with nearest-neighbour interactions starting from random initial …