Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/224628

Title: Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance
Author(s): Zhang, Tonghua
Abstract: The aim of the paper is to investigate the global dynamics of mathematical models for a continuous flow bioreactor and a membrane reactor. It assumes that the models include terms representing death of the microorganism and maintenance energy, respectively. By carrying out a qualitative analysis of the models, we give the classification of the equilibria and show that an unstable limit cycle can exist when the non-washout equilibrium is a focus.
Publication type: Journal article
Research centre: Swinburne University of Technology. Faculty of Engineering and Industrial Sciences
Source: Journal of Mathematical Chemistry, Vol. 50, no. 8 (Sep 2012), pp. 2239-2247
Publication year: 2012
FOR Code(s): 01 Mathematical Sciences; 03 Chemical Sciences
Keyword(s): Continuous flow bioreactor model; Dynamics; Equilibrium; Limit cycle; Membrane reactor model; Qualitative analysis
Publisher: Springer
ISSN: 0259-9791
Publisher URL: http://dx.doi.org/10.1007/s10910-012-0027-5
Peer reviewed