کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
836969 1470397 2016 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Effects of the self- and cross-diffusion on positive steady states for a generalized predator–prey system
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Effects of the self- and cross-diffusion on positive steady states for a generalized predator–prey system
چکیده انگلیسی

This paper deals with a generalized predator–prey system with cross-diffusion and homogeneous Neumann boundary condition, where the cross-diffusion is included in such a way that the prey runs away from the predator. We first give a priori estimate for positive steady states to the system. Then we obtain the non-existence result of non-constant positive steady states. Finally, we investigate the stability of constant equilibrium point and the existence of non-constant positive steady states. It is shown that the system admits a non-constant positive steady state provided that either of the self-diffusions is large or the cross-diffusion is small.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 32, December 2016, Pages 229–241
نویسندگان
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