کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9509644 1341409 2005 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics
چکیده انگلیسی
In this paper we shall consider the following nonlinear impulsive delay differential equation x′(t)+αV(t)x(t)xn(t−mω)θn+xn(t−mω)=λ(t),a.e.t>0,t≠tk,x(tk+)=1(1+bk)x(tk),k=1,2,…,where m and n are positive integers, V(t) and λ(t) are positive periodic continuous functions with period ω>0. In the nondelay case (m=0), we show that the above equation has a unique positive periodic solution x∗(t) which is globally asymptotically stable. In the delay case, we present sufficient conditions for the global attractivity of x∗(t). Our results imply that under the appropriate periodic impulsive perturbations, the impulsive delay equation shown above 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 174, Issue 2, 15 February 2005, Pages 227-238
نویسندگان
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