کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9506223 | 1340743 | 2005 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On a periodic multi-species ecological model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On a periodic multi-species ecological model On a periodic multi-species ecological model](/preview/png/9506223.png)
چکیده انگلیسی
A periodic predator-prey model with m-predators and n-preys is proposed in this paper, which can be seen as the modification of the traditional Lotka-Volterra model. By using comparison theorem, the ultimately bounded region of the system is obtained. By using comparison theorem and Brouwer fixed point theorem, sufficient conditions with guarantee the existence of a positive periodic solution of the system is obtained. Finally, by constructing a suitable Lyapunov function, some sufficient conditions are obtained for the existence of a unique globally attractive periodic solution of system. The results obtained here generalized the main results of [J.D. Zhao, W.C. Chen, Global asymptotic stability of a periodic ecological model, Applied Mathematics and Computation, 147(3) (2004), 881-892].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 171, Issue 1, 1 December 2005, Pages 492-510
Journal: Applied Mathematics and Computation - Volume 171, Issue 1, 1 December 2005, Pages 492-510
نویسندگان
Fengde Chen,