کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642507 1341346 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model
چکیده انگلیسی

In this paper we shall consider the following nonlinear impulsive delay population model:equation(0.1)x′(t)=-δ(t)x(t)+p(t)x(t-mω)e-α(t)x(t-mω)a.e. t>0,t≠tk,x(tk+)=(1+bk)x(tk),k=1,2,…,where m   is a positive integer, δ(t)δ(t), α(t)α(t) and p(t)p(t) are positive periodic continuous functions with period ω>0ω>0. In the nondelay case (m=0m=0), we show that (0.1) has a unique positive periodic solution x*(t)x*(t) which is globally asymptotically stable. In the delay case, we present sufficient conditions for the global attractivity of x*(t)x*(t). Our results imply that under the appropriate linear periodic impulsive perturbations, the impulsive delay equation (0.1) preserves the original periodic property of the nonimpulsive delay equation. In particular, our work extends and improves some known results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 201, Issue 1, 1 April 2007, Pages 55–68
نویسندگان
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