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- W1599948017 abstract "In this paper, we prove the competitive exclusion principle in a chemostat with a single nutrient and N competing species. Growth rates are not required to be proportional to food uptake. The model was studied by B. Fiedler and S.B. Hsu [J. Math. Biol. (2009) 59:233-253]. Using a multidimensional Bendixon-Dulac criterion these authors prove the nonexistence of periodic orbits. Here we use a Lyapunov function approach. We construct Lyapunov functions which extend those functions used by Hsu [SIAM J. Appl. Math. (1978) 34:760-763] and by Wolkowicz and Lu [SIAM J. Appl. Math. (1997) 57:1019-1043] in the case when the growth rates are proportional to food uptake." @default.
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- W1599948017 date "2010-05-20" @default.
- W1599948017 modified "2023-09-27" @default.
- W1599948017 title "Global dynamics in chemostat equations" @default.
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