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    Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection

    Access Status
    Fulltext not available
    Authors
    Wang, Y.
    Liu, L.
    Zhang, X.
    Wu, Yong Hong
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Wang, Y. and Liu, L. and Zhang, X. and Wu, Y.H. 2015. Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection. Applied Mathematics & Computation. 258: pp. 312-324.
    Source Title
    Applied Mathematics & Computation
    DOI
    10.1016/j.amc.2015.01.080
    ISSN
    0096-3003
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/40256
    Collection
    • Curtin Research Publications
    Abstract

    Fractional order derivative is nonlocal which exhibits a long time memory behavior. With advantage of these, fractional order dynamic system models are more accurate than integer order ones in understanding the dynamic behavior of bioprocesses such as HIV infection. In this paper, we systematically study the existence of positive solutions of an abstract fractional semipositone differential system involving integral boundary conditions arising from the study of HIV infection models. By using the fixed point theorem in cone, some new results are established and an example is given to demonstrate the application of our main results.

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