The analysis of bi-level evolutionary graphs
| Autor: | Fei-yan Zou, Pei-ai Zhang, Dai-qiang Hu, Pu-yan Nie |
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| Rok vydání: | 2006 |
| Předmět: |
Statistics and Probability
Discrete mathematics Models Genetic Applied Mathematics Systems Biology Field (mathematics) General Medicine Models Theoretical Stability (probability) Biological Evolution General Biochemistry Genetics and Molecular Biology Graph Game Theory Modeling and Simulation Animals Humans Evolutionary dynamics Algorithm Mathematics |
| Zdroj: | Bio Systems. 90(3) |
| ISSN: | 0303-2647 |
| Popis: | Evolutionary graphs (EGs), in which evolutionary dynamic is arranged on a graph, were initially proposed by Lieberman et al. [Lieberman, E., Hauert, C., Nowak, M.A., 2005. Evolutionary dynamics on graphs. Nature 433, 312-316] in the biological field and many biological phenomena are successfully explained. EGs on two levels (or bi-level EGs), based on some biological phenomena, are considered in this paper. The bi-level EGs are compared with the one-rooted EGs in two cases. One has the identical numbers of the followers, the other with the same numbers of total individuals. Then, some properties of the bi-level EGs are obtained. It is showed that bi-level EGs are more stable, and the bi-level EGs with just two leaders are the most stable, if they have identical followers respectively. The bi-level EGs theory can successfully explain the phenomena of symbiosis in biology. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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