Persistence criteria for a chemostat with variable nutrient input

被引:22
作者
Ellermeyer, SF [1 ]
Pilyugin, SS
Redheffer, R
机构
[1] Kennesaw State Univ, Dept Math, Kennesaw, GA 30144 USA
[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA
[3] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
关键词
D O I
10.1006/jdeq.2000.4041
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Thr standard single-species chemostat model is modified to include a variable nutrient input which is assumed only to be nonnegative, bounded, and continuous. We obtain necessary and sufficient conditions for persistence and show that ail solutions of any given chemostat system have the same long-time behavior independent of the initial conditions. Counterexamples shed light on the results obtained. (C) 2001 Academic Press.
引用
收藏
页码:132 / 147
页数:16
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