کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4499184 1319018 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Instabilities in spatially extended predator–prey systems: Spatio-temporal patterns in the neighborhood of Turing–Hopf bifurcations
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Instabilities in spatially extended predator–prey systems: Spatio-temporal patterns in the neighborhood of Turing–Hopf bifurcations
چکیده انگلیسی

We investigate the emergence of spatio-temporal patterns in ecological systems. In particular, we study a generalized predator–prey system on a spatial domain. On this domain diffusion is considered as the principal process of motion. We derive the conditions for Hopf and Turing instabilities without specifying the predator–prey functional responses and discuss their biological implications. Furthermore, we identify the codimension-2 Turing–Hopf bifurcation and the codimension-3 Turing–Takens–Bogdanov bifurcation. These bifurcations give rise to complex pattern formation processes in their neighborhood. Our theoretical findings are illustrated with a specific model. In simulations a large variety of different types of long-term behavior, including homogenous distributions, stationary spatial patterns and complex spatio-temporal patterns, are observed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Theoretical Biology - Volume 245, Issue 2, 21 March 2007, Pages 220–229
نویسندگان
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