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Three Logistic Models for the Two-Species Interactions: Symbiosis, Predator-Prey and Competition | | R. Lopez-Ruiz
; D. Fournier-Prunaret
; | | Date: |
12 Jun 2004 | | Subject: | Adaptation and Self-Organizing Systems; Pattern Formation and Solitons; Dynamical Systems; Populations and Evolution | nlin.AO math.DS nlin.PS q-bio.PE | | Abstract: | 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. | | Source: | arXiv, nlin.AO/0406020 | | Services: | Forum | Review | PDF | Favorites | |
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