Stability and bifurcation of a simple food chain in a chemostat with removal rates

被引：13
|
作者：
El-Sheikh, MMA [1 ]
Mahrouf, SAA [1 ]
机构：
[1] Menoufia Univ, Fac Sci, Dept Math, Shibin Al Kawm, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 23卷 / 04期
关键词：
D O I：
10.1016/j.chaos.2004.06.079
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider a model describing predator-prey interactions in a chemostat that incorporates genreal response functions and distinct removal rates. In this case, the conservation law fails. To overcome this problem, we use Liapunov functions in the study of the global stability of equlibria. Mathematical analysis of the model equations with regard to invariance of non-negativity, boundedness of solutions, dissipativity and persistence are studied. Hopf bifurcation theory is applied. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1475 / 1489
页数：15
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