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 …

Competing strategies in an evolutionary game model, or species in a biosystem, can easily
form a larger unit which protects them from the invasion of an external actor. Such a …

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 …

Heteroclinic networks are a mathematical concept in dynamic systems theory that is suited to
describe metastable states and switching events in brain dynamics. The framework is …

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 …

In order to better understand the interplay of partnership and competition in population
dynamics, we study a family of generalized May-Leonard models with N species. These …

In this work we investigate the development of stable dynamical structures along interfaces
separating domains belonging to enemy partnerships in the context of cyclic predator-prey …