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Relative positions of limit cycles in the continuous culture vessel with variable yield

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Abstract

To estimate the relative position of limit cycles for a continuous culture vessel is always useful in the qualitative study of the system. In this paper, we construct an annular region containing all the limit cycles for the chemostat with variable yield model that was studied by Huang (J. Math. Chem. 5, 151–166. 1990), and by Pilyugin and Waltman (Math. Biosci. 182, 151–166. 2003).

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Correspondence to Lemin Zhu.

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AMS subject classification 34A34, 92D25

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Zhu, L., Huang, X. Relative positions of limit cycles in the continuous culture vessel with variable yield. J Math Chem 38, 119–128 (2005). https://doi.org/10.1007/s10910-005-4837-6

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  • DOI: https://doi.org/10.1007/s10910-005-4837-6

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