کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
472891 | 698753 | 2011 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Periodic solutions for a delayed predator–prey system with stage-structured predator on time scales Periodic solutions for a delayed predator–prey system with stage-structured predator on time scales](/preview/png/472891.png)
In this paper, a modified delayed predator–prey system with stage structure for predator is proposed and studied, which generalizes and incorporates as special cases some known models. With the help of continuation theorem based on the Gaines and Mawhin coincidence degree theory, we investigate the existence of periodic solutions for the proposed delayed predator–prey system with stage-structured predator and two kinds of functional responses (called Holling III functional response and Beddington–DeAngelis functional response) on time scales. In particular, when the time scale is chosen as the set of the real numbers or the integers, the existence of the periodic solutions of the corresponding continuous-time and discrete-time models follows.
Journal: Computers & Mathematics with Applications - Volume 61, Issue 11, June 2011, Pages 3298–3311