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

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dc.contributor.authorKolade, Owolabi
dc.contributor.authorKailash, Patidar
dc.contributor.authorShikongo, Albert
dc.date.accessioned2020-06-04T14:49:33Z
dc.date.available2020-06-04T14:49:33Z
dc.date.issued2019
dc.description.abstractThe 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.en_US
dc.identifier.citationKolade, M. 2019. A fitted numerical method for a model arising in HIV-related cancer-immune system dynamics. Commun. Math. Biol. Neurosci., 2019:1. doi: https://doi.org/10.28919/cmbn/3866en_US
dc.identifier.urihttps://doi.org/10.28919/cmbn/3866
dc.identifier.urihttp://hdl.handle.net/10566/5219
dc.language.isoenen_US
dc.publisherTianjin Polytechnic Universityen_US
dc.subjectReaction-diffusionen_US
dc.subjectDelay differential equationsen_US
dc.subjectCancer-immune systemen_US
dc.subjectStability analysisen_US
dc.subjectHIV/AIDSen_US
dc.titleA fitted numerical method for a model arising in HIV-related cancer-immune system dynamicsen_US
dc.typeArticleen_US

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