2005/04/13 by Ricardo López‐Ruiz, Ricardo Lopez-Ruiz, Lopez-Ruiz, Ricardo +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · Social Sciences · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Mathematical and Theoretical Epidemiology and Ecology Models #math.DS #nlin.CD #nlin.PS #q-bio.PE
paper · pdf · doi:10.48550/arxiv.nlin/0504028
18 pages, 13 figures
arxiv created 2005/04/13 · arxiv updated 2009/12/01
Two symmetrically coupled logistic equations are proposed to mimic the competitive interaction between two species. The phenomena of coexistence, oscillations and chaos are present in this cubic discrete system. This work, together with two other similar ones recently published by the authors, completes a triptych dedicated to the two-species relationships present in Nature, namely the symbiosis, the predator-prey and the competition. These models can be used as basic ingredients to build up more complex interactions in the ecological networks.