Abstract
Competitive exclusion is proved for a discrete-time, size-structured, nonlinear matrix model of m-species competition in the chemostat. The winner is the population able to grow at the lowest nutrient concentration. This extends the results of earlier work of the first author [11] where the case m = 2 was treated.
Original language | English (US) |
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Pages (from-to) | 183-191 |
Number of pages | 9 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 1 |
Issue number | 2 |
DOIs | |
State | Published - 2001 |
Keywords
- Chemostat
- Competitive exclusion
- Discrete-time
- Size-structured model
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics