کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631043 | 1340615 | 2012 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Global stability of a delay differential equations model of plankton allelopathy Global stability of a delay differential equations model of plankton allelopathy](/preview/png/4631043.png)
In this paper, we consider a delay differential equations model of plankton allelopathy. Using an iterative method, the global stability of the interior equilibrium point of the system is investigated, which shows that toxic substances are harmless for the stability of the interior equilibrium point. The results we obtained improve and complement those of Chattopadhyay [J. Chattopadhyay, Effect of toxic substances on a two-species competitive system, Ecol. Model. 84 (1996) 287–289], Samanta [G.P. Samanta, A two-species competitive system under the influence of toxic substances, Appl. Math. Comput. 216 (2010) 291–299] and Mukhopadhyay et al. [A. Mukhopadhyay, J. Chattopadhyay, P.K. Tapaswi, A delay differential equations model of plankton allelopathy, Math. Biosci. 149 (1998) 167–189]. We also present some examples to verify our main result.
Journal: Applied Mathematics and Computation - Volume 218, Issue 13, 1 March 2012, Pages 7155–7163