کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1705949 | 1012445 | 2011 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the existence and stability of a unique almost periodic sequence solution in discrete predator–prey models with time delays
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the existence and stability of a unique almost periodic sequence solution in discrete predator–prey models with time delays On the existence and stability of a unique almost periodic sequence solution in discrete predator–prey models with time delays](/preview/png/1705949.png)
چکیده انگلیسی
In this paper, we consider an almost periodic discrete predator–prey models with time delays:x(k+1)=x(k)expa(k)-b(k)x(k)-p(k,x(k),y(k),x(k-μ),y(k-ν))y(k)x(k),y(k+1)=y(k)expc(k)-d(k)y(k)x(k-μ),where μ, ν are nonnegative integers. Sufficient conditions for the permanence of the system and the existence of a unique uniformly asymptotically stable positive almost periodic sequence solution are obtained by the theory of difference inequality and the work of [S.N. Zhang, G. Zheng, Almost periodic solutions of delay difference systems, Appl. Math. Comput. 131 (2002) 497–516]. The result of this paper is completely new. Some suitable examples are employed to illustrate the feasibility of the main results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 35, Issue 11, November 2011, Pages 5448–5459
Journal: Applied Mathematical Modelling - Volume 35, Issue 11, November 2011, Pages 5448–5459
نویسندگان
Yongkun Li, Tianwei Zhang, Yuan Ye,