A competition model of the chemostat with an external inhibitor

被引：0
作者：
Li, JQ [1 ]
Feng, ZR
Zhang, JA
Lou, J
机构：
[1] Xi An Jiao Tong Univ, Dept Appl Math, Xian 710049, Peoples R China
[2] Xi An Jiao Tong Univ, Syst Engn Inst, Xian 710049, Peoples R China
[3] AF Engn Univ, Dept Appl Math & Phys, Xian 710051, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2006年 / 3卷 / 01期
关键词：
competition; chemostat; stability; limit cycle;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A competition model of the chemostat with an external inhibitor is considered. This inhibitor is lethal to one competitor and results in the decrease of growth rate of this competitor. The existence and stability of the extinction equilibria are discussed by using Liapunov function. The necessary and sufficient condition guaranteeing the existence of the interior equilibrium is given. It is found by numerical simulation that the system may be globally stable or have a stable limit cycle if the interior equilibrium exists.
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页码：111 / 123
页数：13
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