کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837777 908348 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On nonlinear coupled diffusions in competition systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
On nonlinear coupled diffusions in competition systems
چکیده انگلیسی

A class of reaction–diffusion systems modeling plant growth with spatial competition in saturated media is presented. We show, in this context, that standard diffusion can not lead to pattern formation (Diffusion Driven Instability of Turing). Degenerated nonlinear coupled diffusions inducing free boundaries and exclusive spatial diffusions are proposed. Local and global existence results are proved for smooth approximations of the degenerated nonlinear diffusions systems which give rise to long-time pattern formations. Numerical simulations of a competition model with degenerate/non degenerate nonlinear coupled diffusions are performed and we carry out the effect of the these diffusions on pattern formation and on the change of basins of attraction.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 13, Issue 3, June 2012, Pages 1306–1318
نویسندگان
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