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Stability analysis of equilibrium for microorganisms in continuous culture

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The problem of equilibrium of non-linear dynamic system for microorganism in continuous culture is considered in this paper. The existence of equilibrium point is proved. The conclusion that the equilibrium is the continuous function of the dilution rate and substrate concentration in medium in a certain range is concluded. And the stability criterion of equilibrium is obtained. In theory, it explains the multiplicity shown in laboratory.

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Supported by Major Science and Technology Project of the Tenth National Five-Year Plan (2001BA708B01-04).

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Xiaohong, L., Enmin, F. & Zhilong, X. Stability analysis of equilibrium for microorganisms in continuous culture. Appl. Math. Chin. Univ. 20, 377–383 (2005).

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