Three Logistic Models for the Two-Species Interactions: Symbiosis, Predator-Prey and Competition

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If one isolated species is supposed to evolve following the logistic mapping, then we are tempted to think that the dynamics of two species can be expressed by a coupled system of two discrete logistic equations. As three basic relationships between two species are present in Nature, namely symbiosis, predator-prey and competition, three different models are obtained. Each model is a cubic two-dimensional discrete logistic-type equation with its own dynamical properties: stationarity, periodicity, quasi-periodicity and chaos. Furthermore, these models could be considered as the basic ingredients to construct more complex interactions in the ecological networks.
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Adaptation and Self-Organizing Systems, Dynamical Systems, Pattern Formation and Solitons, Populations and Evolution

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http://salesiana.dossiersoluciones.com/handle/123456789/80754

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0406020
 http://arxiv.org/abs/nlin/0406020

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arXiv