Stability and persistence in plankton models with distributed delays

被引：8
|
作者：
Abdallah, SH [1 ]
机构：
[1] Ain Shams Univ, Univ Coll Women, Dept Math, Cairo 11765, Egypt
来源：
CHAOS SOLITONS & FRACTALS | 2003年 / 17卷 / 05期
关键词：
D O I：
10.1016/S0960-0779(02)00169-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper a model with two independent distributed delays is proposed to describe a population of microorganism feeding on a limiting nutrient which is supplied at a constant rate and is recycled after the death of the species by decomposer action. We obtain sufficient conditions for local and global stability of the positive equilibrium of the model. A fairly general function for-nutrient uptake is considered. Stability changes of the positive equilibrium as the nutrient,supply increases are studied by the Hopf bifurcation theorem. (C) 2003 Published by Elsevier Science Ltd.
引用
收藏
页码：879 / 884
页数：6
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