کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1138840 1489197 2008 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Periodic solutions, oscillation and attractivity of discrete nonlinear delay population model
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Periodic solutions, oscillation and attractivity of discrete nonlinear delay population model
چکیده انگلیسی

The objective of this paper is to systematically study the qualitative behavior of solutions of the nonlinear delay population model x(n+1)=x(n)exp(−p(n)+q(n)r+xm(n−ω)),n=0,1,…, where p(n)p(n) and q(n)q(n) are positive periodic sequences of period ω,mω,m, and ωω are positive integers and ω>1ω>1. First, by using the continuation theorem in conincidence degree theory, we establish a sufficient condition for the existence of a positive ωω-periodic solution x¯(n) with strictly positive components. Second, we establish some sufficient conditions for oscillation of the positive solutions about a periodic solution. Finally, we give an estimation of the lower and upper bounds of the oscillatory solutions and establish some sufficient conditions for the global attractivity of {x¯(n)}. Some illustrative examples are included to demonstrate the validity and applicability of the results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 47, Issues 3–4, February 2008, Pages 278–297
نویسندگان
,