کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642541 | 1341347 | 2007 | 22 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Dynamic behaviors of a delay differential equation model of plankton allelopathy Dynamic behaviors of a delay differential equation model of plankton allelopathy](/preview/png/4642541.png)
In this paper, we consider a modified delay differential equation model of the growth of n-species of plankton having competitive and allelopathic effects on each other. We first obtain the sufficient conditions which guarantee the permanence of the system. As a corollary, for periodic case, we obtain a set of delay-dependent condition which ensures the existence of at least one positive periodic solution of the system. After that, by means of a suitable Lyapunov functional, sufficient conditions are derived for the global attractivity of the system. For the two-dimensional case, under some suitable assumptions, we prove that one of the components will be driven to extinction while the other will stabilize at a certain solution of a logistic equation. Examples show the feasibility of the main results.
Journal: Journal of Computational and Applied Mathematics - Volume 206, Issue 2, 15 September 2007, Pages 733–754