Theoretical analysis of ethanol fermentation with product inhibition and synchronous impulse

Zhong Zhao, Chengguang Luo, Yi Xiao

Abstract


In this paper, a universal model of ethanol fermentation with product inhibition and synchronous impulse is investigated. Firstly, continuous input substrate is taken. By using the qualitative theory of ordinary differential equations, we prove the complex dynamics of the equilibria. Moreover, synchronous impulse of input substrate is also considered. Using small amplitude perturbation, we obtain the biomass-free periodic solution is locally stable if some conditions are satisfied. In a certain limiting case, it is shown that a nontrivial periodic solution emerges via a supercritical bifurcation. The above results are validated by numerical simulations.

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Published: 2016-01-14

How to Cite this Article:

Zhong Zhao, Chengguang Luo, Yi Xiao, Theoretical analysis of ethanol fermentation with product inhibition and synchronous impulse, Communications in Mathematical Biology and Neuroscience, Vol 2016 (2016), Article ID 1

Copyright © 2016 Zhong Zhao, Chengguang Luo, Yi Xiao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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