کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898702 1631495 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Traveling wave solutions of a time-periodic competitive system with a free boundary
ترجمه فارسی عنوان
راه حل های موج حرکتی یک سیستم رقابتی دوره زمانی با یک مرز آزاد
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
We consider a time-periodic competition system with a free boundary, which can be used to describe two species that are struggling on the free boundary to obtain their own habitats and the final competition result is the regional partition of two species. In [15], we have studied the (classical) traveling wave solutions of the temporal homogeneous problems. In this paper, we consider the time-periodic case and study periodic traveling wave solutions of the problem. More precisely, we will prove the existence and uniqueness of the periodic traveling wave solution, and show that the speed of the periodic traveling wave is uniquely determined by and monotonically dependent on the time-periodic terms in the system. Moreover, we will present some sufficient conditions to guarantee that the wave travels with a positive speed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 3, 5 August 2018, Pages 963-978
نویسندگان
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