کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837844 908350 2011 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positive periodic solutions and optimal control for a distributed biological model of two interacting species
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Positive periodic solutions and optimal control for a distributed biological model of two interacting species
چکیده انگلیسی

The paper deals with the existence of positive periodic solutions to a system of degenerate parabolic equations with delayed nonlocal terms and Dirichlet boundary conditions. Taking in each equation a meaningful function as a control parameter, we show that for a suitable choice of a class of such controls we have, for each of them, a time-periodic response of the system under different assumptions on the kernels of the nonlocal terms. Finally, we consider the problem of the minimization of a cost functional on the set of pairs: control-periodic response. The considered system may be regarded as a possible model for the coexistence problem of two biological populations, which dislike crowding and live in a common territory, under different kind of intra- and inter-specific interferences.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 3, June 2011, Pages 1410–1428
نویسندگان
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