Persistence criteria for a chemostat with variable nutrient input

Authors
Ellermeyer, SF Pilyugin, SS Redheffer, R
Citation
Sf. Ellermeyer et al., Persistence criteria for a chemostat with variable nutrient input, J DIFF EQUA, 171(1), 2001, pp. 132-147
Citations number
24
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN journal
00220396 → ACNP
Volume
171
Issue
1
Year of publication
2001
Pages
132 - 147
Database
ISI
SICI code
0022-0396(20010320)171:1<132:PCFACW>2.0.ZU;2-G
Abstract
Thr standard single-species chemostat model is modified to include a variab le nutrient input which is assumed only to be nonnegative, bounded, and con tinuous. We obtain necessary and sufficient conditions for persistence and show that ail solutions of any given chemostat system have the same long-ti me behavior independent of the initial conditions. Counterexamples shed lig ht on the results obtained. (C) 2001 Academic Press.