کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838118 908355 2010 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Traveling waves in delayed lattice dynamical systems with competition interactions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Traveling waves in delayed lattice dynamical systems with competition interactions
چکیده انگلیسی

This paper deals with the existence of traveling wave solutions of a class of delayed system of lattice differential equations, which formulates the invasion process when two competitive species are invaders. Employing the comparison principle of competitive systems, a new cross-iteration scheme is given to establish the existence of traveling wave solutions. More precisely, by the cross-iteration, the existence of traveling wave solutions is reduced to the existence of an admissible pair of upper and lower solutions. To illustrate our main results, we prove the existence of traveling wave solutions in two delayed two-species competition systems with spatial discretization. Our results imply that the delay appeared in the interspecific competition terms do not affect the existence of traveling wave solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 5, October 2010, Pages 3666–3679
نویسندگان
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