کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
766845 897125 2013 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pulsating traveling fronts and entire solutions in a discrete periodic system with a quiescent stage
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Pulsating traveling fronts and entire solutions in a discrete periodic system with a quiescent stage
چکیده انگلیسی

In this paper, we study pulsating traveling fronts and entire solutions for a spatially discrete periodic reaction–diffusion system with a quiescent stage. Here, the entire solutions are defined in the whole space and for all time t∈Rt∈R. Under the monostable assumption, the existence and asymptotic behavior of pulsating traveling fronts and spatially periodic solutions connecting two periodic steady states are first established. Combining the leftward and rightward pulsating traveling fronts with different speeds and a spatially periodic solution, the existence and qualitative properties of entire solutions are then proved. Finally, some numerical simulations are carried out to confirm the theoretical results.


► In this paper, we study a discrete periodic reaction-diffusion system with a quiescent stage.
► The existence of pulsating traveling fronts and spatially periodic solutions are established.
► The existence and qualitative properties of entire solutions are proved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 8, August 2013, Pages 2164–2176
نویسندگان
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