In this paper, we investigate a model with yields: γ1 = A 1 + B 1 S m and γ2 = A 2 + B 2 S n, for the competition in the bioreactor of two competitors for a single nutrient, in which one of the competitors produces toxin against its opponent. The existence of limit cycles in the 3-D system is obtained by using a Hopf bifurcation.
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Huang, X., Zhu, L. A note on competition in the bioreactor with toxin. J Math Chem 42, 645–659 (2007). https://doi.org/10.1007/s10910-006-9140-7
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DOI: https://doi.org/10.1007/s10910-006-9140-7