Article

Competitive exclusion in a discrete-time, size-structured chemostat model

Discrete and Continuous Dynamical Systems-series B - DISCRETE CONTIN DYN SYS-SER B 05/2000; 1(2). DOI: 10.3934/dcdsb.2001.1.183

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 rst author 11] where the case m = 2 was treated.

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