Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
We investigate a six-species class of May-Leonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulat...
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| Principais autores: | , , , |
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| Formato: | article |
| Idioma: | English |
| Publicado em: |
American Physical Society
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| Assuntos: | |
| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/29855 |
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| Resumo: | We investigate a six-species class of May-Leonard models leading to the formation of two types of competing
spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulations in two-dimensional space. We find that as three-species domains shrink, there is an increasing probability of extinction of two of the species inhabiting the domain, with the consequent creation of one-species domains. We determine the critical initial radius beyond which these one-species spatial domains are expected to expand. We further show that a transient scaling regime, with a slower average growth rate of the characteristic length scale L of the spatial domains with time t, takes place before the transition to a standard L ∝ t 1/2 scaling law, resulting in an extended period of coexistence. |
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