کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4635193 | 1340708 | 2007 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion Profitless delays for a nonautonomous Lotka-Volterra predator-prey almost periodic system with dispersion](/preview/png/4635193.png)
چکیده انگلیسی
This paper studies a nonautonomous Lotka-Volterra almost periodic predator-prey dispersal system with discrete and continuous time delays which consists of two-patches, the prey species can disperse among two-patches, but the predator species is confined to one patch and cannot disperse. By using comparison theorem and delay differential equation basic theory, we prove the system is uniformly persistent under some appropriate conditions. Further, by constructing suitable Lyapunov functional, we show that the system is globally asymptotically stable under some appropriate conditions. By using a new method and almost periodic functional hull theory, we show that the almost periodic system has a unique globally asymptotical stable strictly positive almost periodic solution. The conditions for the permanence, global stability of system and the existence, uniqueness of positive almost periodic solution depend on delays, so, time delays are “profitless”. Finally, ecological conclusions and a particular case are given. These results are basically an extension of the known results for nonautonomous Lotka-Volterra systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 188, Issue 1, 1 May 2007, Pages 365-378
Journal: Applied Mathematics and Computation - Volume 188, Issue 1, 1 May 2007, Pages 365-378
نویسندگان
Xinzhu Meng, Weijian Xu, Lansun Chen,