Diffusion-induced chaos in a spatial predator–prey system
1993; Royal Society; Volume: 251; Issue: 1330 Linguagem: Inglês
10.1098/rspb.1993.0001
ISSN1471-2954
Autores Tópico(s)Animal Ecology and Behavior Studies
ResumoRestricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Pascual Mercedes 1993Diffusion-induced chaos in a spatial predator–prey systemProc. R. Soc. Lond. B.2511–7http://doi.org/10.1098/rspb.1993.0001SectionRestricted accessArticleDiffusion-induced chaos in a spatial predator–prey system Mercedes Pascual Google Scholar Find this author on PubMed Search for more papers by this author Mercedes Pascual Google Scholar Find this author on PubMed Published:22 January 1993https://doi.org/10.1098/rspb.1993.0001AbstractA continuous predator-prey model in which both species diffuse along a spatial gradient is shown to exhibit temporal chaos at a fixed point in space. The model incorporates a nonlinear functional response of the predator and a logistic growth of the prey; the intrinsic growth rate of the prey varies linearly with space. Numerical results demonstrate that low diffusion values drive an otherwise periodic system into aperiodic behaviour with sensitivity to initial conditions. Evidence is provided for a quasiperiodic route to chaos as the diffusion rate decreases. These results suggest that complex temporal dynamics in natural communities may arise through the spatial dimension. Spatially induced chaos may have an important role in spatial pattern generation in heterogeneous environments.FootnotesThis text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR. 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