Cyclic dominance in evolutionary games: a review

A Szolnoki, M Mobilia, LL Jiang… - Journal of the …, 2014 - royalsocietypublishing.org
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 …

Stochastic population dynamics in spatially extended predator–prey systems

U Dobramysl, M Mobilia, M Pleimling… - Journal of Physics A …, 2018 - iopscience.iop.org
Spatially extended population dynamics models that incorporate demographic noise serve
as case studies for the crucial role of fluctuations and correlations in biological systems …

Diverging fluctuations in a spatial five-species cyclic dominance game

J Vukov, A Szolnoki, G Szabó - Physical Review E—Statistical, Nonlinear, and …, 2013 - APS
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 …

Structural stability of nonlinear population dynamics

S Cenci, S Saavedra - Physical Review E, 2018 - APS
In population dynamics, the concept of structural stability has been used to quantify the
tolerance of a system to environmental perturbations. Yet, measuring the structural stability …

Vortices determine the dynamics of biodiversity in cyclical interactions with protection spillovers

A Szolnoki, M Perc - New Journal of Physics, 2015 - iopscience.iop.org
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 …

Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies

A Szolnoki, M Perc - Europhysics Letters, 2015 - iopscience.iop.org
Knowing the strategy of an opponent in a competitive environment conveys obvious
evolutionary advantages. But this information is costly, and the benefit of being informed …

The effect of habitats and fitness on species coexistence in systems with cyclic dominance

R Baker, M Pleimling - Journal of Theoretical Biology, 2020 - Elsevier
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 …

Characterization of spiraling patterns in spatial rock-paper-scissors games

B Szczesny, M Mobilia, AM Rucklidge - Physical Review E, 2014 - APS
The spatiotemporal arrangement of interacting populations often influences the
maintenance of species diversity and is a subject of intense research. Here, we study the …

Perturbative field-theoretical analysis of three-species cyclic predator-prey models

LH Yao, M Swailem, U Dobramysl… - Journal of Physics A …, 2023 - iopscience.iop.org
We apply a perturbative Doi–Peliti field-theoretical analysis to the stochastic spatially
extended symmetric Rock-paper-Scissors (RPS) and May–Leonard (ML) models, in which …

A theoretical approach to understand spatial organization in complex ecologies

A Roman, D Dasgupta, M Pleimling - Journal of Theoretical Biology, 2016 - Elsevier
Predicting the fate of ecologies is a daunting, albeit extremely important, task. As part of this
task one needs to develop an understanding of the organization, hierarchies, and …