ArticleScientific reports2018
Heterogeneous network promotes species coexistence: metapopulation model for rock-paper-scissors game.
Article in Scientific reports, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Stability analysis of the coexistence equilibrium of a balanced metapopulation model.Scientific reports · 2021Article
- Environment driven oscillation in an off-lattice May-Leonard model.Scientific reports · 2021Article
- Movement can mediate temporal mismatches between resource availability and biological events in host-pathogen interactions.Ecology and evolution · 2021Article
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Authors and funding
3 authors.
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Abstract
Understanding mechanisms of biodiversity has been a central question in ecology. The coexistence of three species in rock-paper-scissors (RPS) systems are discussed by many authors; however, the relation between coexistence and network structure is rarely discussed. Here we present a metapopulation model for RPS game. The total population is assumed to consist of three subpopulations (nodes). Each individual migrates by random walk; the destination of migration is randomly determined. From reaction-migration equations, we obtain the population dynamics. It is found that the dynamic highly depends on network structures. When a network is homogeneous, the dynamics are neutrally stable: each node has a periodic solution, and the oscillations synchronize in all nodes. However, when a network is heterogeneous, the dynamics approach stable focus and all nodes reach equilibriums with different densities. Hence, the heterogeneity of the network promotes biodiversity.
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