Paper Info
Title
Global asymptotic behavior of the chemostat: general response functions and different removal rates
Abstract
In this paper, we consider a competition model between n species in a chemostat that incorporates both monotone and nonmonotone general response functions and distinct removal rates. We show that only the species with the lowest break-even concentration survives, provided that the variation of distinct removal rates relative to the flow rate of the chemostat can be controlled by either the difference between the two lowest break-even concentrations or by a parameter based on the structure of response functions. LaSalle's extension theorem of the Lyapunov stability theory and fluctuation lemma are the main tools.
Year
DOI
Venue
1998
10.1137/S003613999631100X
SIAM Journal of Applied Mathematics
Keywords
Field
DocType
chemostat,competition in chemostat,competitive exclusion principle,global asymptotic behavior
Competition model,Chemostat,Mathematical analysis,Lyapunov stability,Asymptotic analysis,Mathematics,Monotone polygon,Competitive exclusion principle,Lemma (mathematics)
Journal
Volume
Issue
ISSN
59
2
0036-1399
Citations 
PageRank 
References 
14
3.45
1
Authors
1
Name
Order
Citations
PageRank
Bingtuan Li1359.86