کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837915 908351 2011 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Wave propagation for a reaction–diffusion model with a quiescent stage on a 2D spatial lattice
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Wave propagation for a reaction–diffusion model with a quiescent stage on a 2D spatial lattice
چکیده انگلیسی

In this paper, we study a reaction–diffusion model with a quiescent stage on a 2D spatial lattice for a single-species population with two separate mobile and stationary states. We investigate the phenomenon of biological invasion using traveling wave theory. Under the monostable assumptions, we show that, for any fixed θ∈Rθ∈R, there exists a minimal wave speed c∗(θ)>0c∗(θ)>0 such that a traveling wave front exists if and only if its speed is above this minimal wave speed. The asymptotic behavior, monotonicity and uniqueness of the wave profiles are then established. Of particular interest are the effects of the direction of propagation and transfer rates on the minimal wave speed, and we obtain some interesting results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 2, April 2011, Pages 1178–1191
نویسندگان
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