Data based identification and prediction of nonlinear and complex dynamical systems

WX Wang, YC Lai, C Grebogi - Physics Reports, 2016 - Elsevier
The problem of reconstructing nonlinear and complex dynamical systems from measured
data or time series is central to many scientific disciplines including physical, biological …

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 …

Evolutionary game theory: cells as players

S Hummert, K Bohl, D Basanta, A Deutsch… - Molecular …, 2014 - pubs.rsc.org
In two papers we review game theory applications in biology below the level of cognitive
living beings. It can be seen that evolution and natural selection replace the rationality of the …

Mesoscopic interactions and species coexistence in evolutionary game dynamics of cyclic competitions

H Cheng, N Yao, ZG Huang, J Park, Y Do, YC Lai - Scientific reports, 2014 - nature.com
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 …

Spatial rock-paper-scissors models with inhomogeneous reaction rates

Q He, M Mobilia, UC Täuber - Physical Review E—Statistical, Nonlinear, and …, 2010 - APS
We study several variants of the stochastic four-state rock-paper-scissors game or,
equivalently, cyclic three-species predator-prey models with conserved total particle density …

[HTML][HTML] Emergence of unusual coexistence states in cyclic game systems

J Park, Y Do, B Jang, YC Lai - Scientific reports, 2017 - nature.com
Evolutionary games of cyclic competitions have been extensively studied to gain insights
into one of the most fundamental phenomena in nature: biodiversity that seems to be …

Uneven rock-paper-scissors models: Patterns and coexistence

J Menezes, B Moura, TA Pereira - Europhysics Letters, 2019 - iopscience.iop.org
We study a class of the stochastic May-Leonard models, with three species dominating each
other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We …

Effects of competition on pattern formation in the rock-paper-scissors game

LL Jiang, T Zhou, M Perc, BH Wang - … E—Statistical, Nonlinear, and Soft Matter …, 2011 - APS
We investigate the impact of cyclic competition on pattern formation in the rock-paper-
scissors game. By separately considering random and prepared initial conditions, we …

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 …

Cyclic competition of four species: domains and interfaces

A Roman, D Konrad, M Pleimling - Journal of Statistical …, 2012 - iopscience.iop.org
We study numerically domain growth and interface fluctuations in one-and two-dimensional
lattice systems composed of four species that interact in a cyclic way. Particle mobility is …