کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839584 1470478 2015 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The spreading frontiers in partially degenerate reaction–diffusion systems
ترجمه فارسی عنوان
مرزهای گسترش در بخشی از سیستم انتشار واکنش دژنراسیون
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی

In this paper, we study the spreading frontiers in the partially degenerate reaction–diffusion systems with a mobile and a stationary component, which are described by a class free boundary condition. The center of our investigation is to understand the effect of the dispersal rate DD of the mobile component, the expansion capacity μμ (the ratio of the expansion speed of the free boundary and the gradient of the mobile component at the spreading frontiers) and the initial numbers u0u0 and v0v0 on the long-run dynamics of the spreading frontiers. It is shown that a spreading–vanishing dichotomy holds, and the sharp criteria for the spreading and vanishing by choosing DD, μμ, u0u0 and v0v0 as variable factors are also obtained. In particular, our results still reveal that slow dispersal rate unconditionally favors the frontiers to spread, but the fast one, however, leads to a conditional vanishing of the frontiers. Moreover, as applications, we consider a man–environment–man epidemic model in physiology and a reaction–diffusion model with a quiescent stage in population dynamics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 122, July 2015, Pages 215–238
نویسندگان
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