TY - JOUR
T1 - Competition for a single limiting resource in continuous culture
T2 - The variable-yield model
AU - Smith, Hal
AU - Waltman, Paul
PY - 1994
Y1 - 1994
N2 - The global asymptotic behavior of solutions of the so-called variable yield model of competition between two microbial populations for a single growth-limiting nutrient is determined. This model, also referred to as the variable-internal stores or Caperon-Droop model, is a generalization of the classical Monod model. It assumes that the growth rate of a population depends on the amount of nutrient stored by the organism, taken to be the same for all organisms, rather than the concentration of ambient nutrient in the culture. It is shown that competitive exclusion holds, the winner being the organism that can grow at the lower ambient nutrient concentration.
AB - The global asymptotic behavior of solutions of the so-called variable yield model of competition between two microbial populations for a single growth-limiting nutrient is determined. This model, also referred to as the variable-internal stores or Caperon-Droop model, is a generalization of the classical Monod model. It assumes that the growth rate of a population depends on the amount of nutrient stored by the organism, taken to be the same for all organisms, rather than the concentration of ambient nutrient in the culture. It is shown that competitive exclusion holds, the winner being the organism that can grow at the lower ambient nutrient concentration.
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U2 - 10.1137/S0036139993245344
DO - 10.1137/S0036139993245344
M3 - Article
AN - SCOPUS:0028483826
SN - 0036-1399
VL - 54
SP - 1113
EP - 1131
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
IS - 4
ER -