کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5471766 | 1519442 | 2017 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence of periodic solutions in a nonautonomous food web with Beddington-DeAngelis functional response
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this paper, we investigate the existence of positive T-periodic solutions in a food web with one predator feeding on n preys by Leray-Schauder degree theory, which plays a significant role on further studying the uniqueness of limit cycles of this food web model. We start with a series of required spaces and operators and construct a bounded open set Ω over which the corresponding Leray-Schauder degree can be well-defined. Afterwards, by the invariance property of homotopy, we verify that the Leray-Schauder degree is not equal to 0 under certain conditions, thus implying the existence of positive T-periodic solutions. Finally, a numerical example is presented to illustrate our result.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 71, September 2017, Pages 59-66
Journal: Applied Mathematics Letters - Volume 71, September 2017, Pages 59-66
نویسندگان
Xin Jiang, Gang Meng, Zhikun She,