Game theory is one of the key paradigms behind many scientific disciplines from biology to
behavioral sciences to economics. In its evolutionary form and especially when the …

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 …

Ecological systems are complex assemblies of large numbers of individuals, interacting
competitively under multifaceted environmental conditions. Recent studies using microbial …

Noise and spatial degrees of freedom characterize most ecosystems. Some aspects of their
influence on the coevolution of populations with cyclic interspecies competition have been …

The formation of out-of-equilibrium patterns is a characteristic feature of spatially extended,
biodiverse, ecological systems. Intriguing examples are provided by cyclic competition of …

Cooperation is the backbone of modern human societies, making it a priority to understand
how successful cooperation-sustaining mechanisms operate. Cyclic dominance, a non …

We demonstrate that demographic noise can induce persistent spatial pattern formation and
temporal oscillations in the Levin-Segel predator-prey model for plankton-herbivore …

Models of diffusion-driven pattern formation that rely on the Turing mechanism are utilized in
many areas of science. However, many such models suffer from the defect of requiring fine …

We study the general properties of stochastic two-species models for predator-prey
competition and coexistence with Lotka–Volterra type interactions defined on ad …