Stochastic patterns in a 1D rock-paper-scissors model with mutation

DOI10.1016/J.PHYSA.2014.05.001zbMath1395.82178arXiv1401.4302OpenAlexW2963334516MaRDI QIDQ1782958

Claudia Cianci, Timoteo Carletti

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4302

zbMATH Keywords

stochastic processesnonlinear dynamicsstochastic simulationsspatio-temporal patternsstochastic patterns

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (6)

Multistability in the cyclic competition system ⋮ Biodiversity in the cyclic competition system of three species according to the emergence of mutant species ⋮ Nonlinear dynamics with Hopf bifurcations by targeted mutation in the system of rock-paper-scissors metaphor ⋮ Rock-paper-scissors played within competing domains in predator-prey games ⋮ Multistability of extinction states in the toy model for three species ⋮ Emergence of oscillatory coexistence with exponentially decayed waiting times in a coupled cyclic competition system

Cites Work

• Evolutionary game theory: theoretical concepts and applications to microbial communities
• Pattern formation in systems with one spatially distributed species
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Pattern formation and chaos in spatial ecological public goods games
• Stochastic Patterns and the Role of Crowding
• Nonlinear Aspects of Competition Between Three Species
• MORE SPATIAL GAMES
• The chemical basis of morphogenesis
• Turing instabilities in general systems
• Turing instabilities in reaction-diffusion systems with cross diffusion

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