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    Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms

    Access Status
    Fulltext not available
    Authors
    Chen, Z.
    Zhang, T.
    Tade, Moses
    Brooks, G.
    Date
    2017
    Type
    Journal Article
    
    Metadata
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    Citation
    Chen, Z. and Zhang, T. and Tade, M. and Brooks, G. 2017. Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms. Journal of Applied Mathematics and Computing. 53 (1-2): pp. 471-486.
    Source Title
    Journal of Applied Mathematics and Computing
    DOI
    10.1007/s12190-015-0977-4
    ISSN
    1598-5865
    Faculty
    Faculty of Science and Engineering
    URI
    http://hdl.handle.net/20.500.11937/54442
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we aim to investigate the dynamics and existence of periodic solutions of a state-dependent impulsive model for continuous flow bioreactors. In this model, the Monod’s growth rate is employed and an impulsive control strategy is used to control the quantity of microorganisms. Our study shows all solutions of the model are bounded; and the order-1 periodic solution exists under certain conditions. At the end of this paper, numerical simulations have been carried out to demonstrate our theoretical results and the performance of the bioreactor.

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