Metapopulation model for rock-paper-scissors game: mutation affects paradoxical impacts

DOI10.1016/j.jtbi.2018.04.005zbMath1397.92463OpenAlexW2795775561WikidataQ52601018 ScholiaQ52601018MaRDI QIDQ1642585

Takashi Nagatani, Genki Ichinose, Kei-Ichi Tainaka

Publication date: 15 June 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2018.04.005

zbMATH Keywords

random walkbiological controlmetapopulation modelmutationbiodiversityrock-paper-scissors gamecondition of coexistencemultiple paradoxesspatially heterogeneous mutation

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25) Genetics and epigenetics (92D10)

Related Items (14)

Diffusively coupled Lotka-Volterra system stabilized by heterogeneous graphs ⋮ Restricted migration of infected individuals in epidemic metapopulation model on double graphs ⋮ Infection promotes species coexistence: rock-paper-scissors game with epidemic on graphs ⋮ Migration difference in diffusively-coupled prey-predator system on heterogeneous graphs ⋮ Evolutionary dynamics of rock-paper-scissors game in the patchy network with mutations ⋮ The role of pairwise nonlinear evolutionary dynamics in the rock-paper-scissors game with noise ⋮ Exploring the epidemic spreading in a multilayer metapopulation network by considering individuals' periodic travelling ⋮ Metapopulation model of rock-scissors-paper game with subpopulation-specific victory rates stabilized by heterogeneity ⋮ Metapopulation dynamics in the rock-paper-scissors game with mutation: effects of time-varying migration paths ⋮ Diffusively-coupled rock-paper-scissors game with mutation in scale-free hierarchical networks ⋮ Bifurcation analysis of three-strategy imitative dynamics with mutations ⋮ Epidemic dynamics on metapopulation networks with node2vec mobility ⋮ The synchronized dynamics of time-varying networks ⋮ Metapopulation dynamics on double graphs for mediated infectious disease in patchy environment

Cites Work

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• On a ruin problem with interaction
• The importance of being discrete (and spatial)
• Random walks and diffusion on networks
• Oscillatory dynamics in rock-paper-scissors games with mutations
• Ecological balance in the native population dynamics may cause the paradox of pest control with harvesting
• Motoo Kimura's use of diffusion theory in population genetics
• Indirect effect in cyclic voter models
• POPULATION DYNAMICS FOR FRESHWATER SPECIES WITH CYCLIC RELATION

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