کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1705544 1012435 2012 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The spatial patterns through diffusion-driven instability in a predator–prey model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
The spatial patterns through diffusion-driven instability in a predator–prey model
چکیده انگلیسی

Studies on stability mechanism and bifurcation analysis of a system of interacting populations by the combined effect of self and cross-diffusion become an important issue in ecology. In the current investigation, we derive the conditions for existence and stability properties of a predator–prey model under the influence of self and cross-diffusion. Numerical simulations have been carried out in order to show the significant role of self and cross-diffusion coefficients and other important parameters of the system. Various contour pictures of spatial patterns through Turing instability are portrayed and analysed in order to substantiate the applicability of the present model. Finally, the paper ends with an extended discussion of biological implications of our findings.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 36, Issue 5, May 2012, Pages 1825–1841
نویسندگان
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