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

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dc.creatorLopez-Ruiz, R.
dc.creatorFournier-Prunaret, D.
dc.date2004-06-12
dc.date.accessioned2026-07-07T05:35:37Z
dc.date.available2026-07-07T05:35:37Z
dc.descriptionIf 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.
dc.description1 page
dc.identifierhttps://arxiv.org/abs/nlin/0406020
dc.identifierhttp://arxiv.org/abs/nlin/0406020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80754
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectDynamical Systems
dc.subjectPattern Formation and Solitons
dc.subjectPopulations and Evolution
dc.titleThree Logistic Models for the Two-Species Interactions: Symbiosis, Predator-Prey and Competition
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