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    A fitted numerical method for a model arising in HIV-related cancer-immune system dynamics

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    Date
    2019
    Author
    Kolade, Owolabi
    Kailash, Patidar
    Shikongo, Albert
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    Abstract
    The effect of diseases such as cancer and HIV among our societies is evident. Thus, from the mathematical point of view many models has been developed with the aim to contribute towards understanding the dynamics of diseases. Therefore, in this paper we believe by extending a system of delay differential equations (DDEs) model of HIV related cancer-immune system to a system of delay partial differential equations (DPDEs) model of HIV related cancer-immune dynamics, we can contribute toward understanding the dynamics more clearly. Thus, we analyse the extended models and use the qualitative features of the extended model to derive, analyse and implement a fitted operator finite difference method (FOFDM) and present our results. This FOFDM is analyzed for convergence and it is seen that it has has second-order accuracy. We present some numerical results for some cases of the the model to illustrate the reliability of our numerical method.
    URI
    https://doi.org/10.28919/cmbn/3866
    http://hdl.handle.net/10566/5219
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    • Research Articles (Mathematics)

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