Use este identificador para citar ou linkar para este item: http://repositorio.ufla.br/jspui/handle/1/28798
Título: Richards-like two species population dynamics model
Palavras-chave: Population dynamics
Pattern formation ecological
Population growth models
Dinâmica populacional
Formação de padrões ecológicos
Modelos de crescimento populacional
Data do documento: Dez-2014
Editor: Springer
Citação: RIBEIRO, F.; CABELLA, B. C. T.; MARTINEZ, A. S. Richards-like two species population dynamics model. Theory in Biosciences, [S. l.], v. 133, n. 3-4, p. 135-143, Dec. 2014.
Resumo: The two-species population dynamics model is the simplest paradigm of inter- and intra-species interaction. Here, we present a generalized Lotka–Volterra model with intraspecific competition, which retrieves as particular cases, some well-known models. The generalization parameter is related to the species habitat dimensionality and their interaction range. Contrary to standard models, the species coupling parameters are general, not restricted to non-negative values. Therefore, they may represent different ecological regimes, which are derived from the asymptotic solution stability analysis and are represented in a phase diagram. In this diagram, we have identified a forbidden region in the mutualism regime, and a survival/extinction transition with dependence on initial conditions for the competition regime. Also, we shed light on two types of predation and competition: weak, if there are species coexistence, or strong, if at least one species is extinguished.
URI: https://link.springer.com/article/10.1007/s12064-014-0205-z
http://repositorio.ufla.br/jspui/handle/1/28798
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