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DYNAMICS OF MATHEMATICAL MODELS FOR BIOREACTORS

Part of: Qualitative theory Stability theory

Published online by Cambridge University Press:  28 September 2017

ZHENZHEN CHEN
ZHENZHEN CHEN*
Affiliation:
Department of Mathematics, Swinburne University of Technology, Victoria 3122, Australia email [email protected]
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Abstract

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Keywords

bioreactorsmathematical modellingdynamicsstability

MSC classification

Primary: 34D20: Stability
Secondary: 34C60: Qualitative investigation and simulation of models
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 96 , Issue 3 , December 2017 , pp. 519 - 520
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

Chen, Z., Hsu, S. B. and Yang, Y. T., ‘The morbidostat: a bio-reactor that promotes selection for drug resistance in bacteria’, SIAM J. Appl. Math. 77(2) (2017), 470–499.Google Scholar
Chen, Z., Zhang, T., Tade, M. O. and Brooks, G., ‘Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms’, J. Appl. Math. Comput. 53(1) (2017), 471–486.CrossRefGoogle Scholar
Smith, H. L. and Waltman, P. E., The Theory of the Chemostat (Cambridge University Press, Cambridge, 1995).CrossRefGoogle Scholar
Toprak, E., Veres, A., Mitchel, J. B., Hartl, D. L. and Kishony, R., ‘Evolutionary paths to antibiotic resistance under dynamically sustained drug selection’, Nature Genetics 44 (2012), 101–106.CrossRefGoogle Scholar