کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5024385 1470390 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dirichlet problem of a delay differential equation with spatial non-locality on a half plane
ترجمه فارسی عنوان
مشکل دیریکله یک معادله دیفرانسیل تأخیر با نواحی فضایی در یک نیمه
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
In this paper, we are concerned with modeling and analyzing the dynamics for a two-stage species that lives on a half plane. We first derive a spatially nonlocal and temporally delayed differential equation that describes the mature population on a semi-infinite environment with a homogeneous Dirichlet condition. For the derived model, we are able to show that the solutions induce a k-set contraction semiflow with respect to the compact open topology on a bounded positive invariant set attracting every solution of the equation. To describe the global dynamics, we first establish a priori estimate for nontrivial solutions after exploring the delicate asymptotic properties of the nonlocal delayed effect, which enables us to show the repellency of the trivial equilibrium. Using the estimate, k-set contracting property as well as Schauder fixed point theorem, we then establish the existence of a positive spatially heterogeneous steady state. At last, we show global attractivity of the nontrivial steady state by employing dynamical system approaches.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 39, February 2018, Pages 300-320
نویسندگان
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