Department Of Mathematics And Statistics

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Author: search.filters.author.Kumar, SunilHas files: No

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    Fractional time-delay mathematical modeling of Oncolytic Virotherapy
    (Elsevier Ltd, 2021-06-19T00:00:00) Kumar, Pushpendra; Erturk, Vedat Suat; Yusuf, Abdullahi; Kumar, Sunil
    An emerging treatment tool which uses replication-competent viruses to dissipate cancers without causing deficit to normal tissues, named as oncolytic virotherapy, is discussed in the article. We analysed a fractional delay dynamical model on the oncolytic virotherapy compositing viral lytic cycle and virus-specific cytotoxic T lymphocyte (CTL) response. We used a well known Caputo fractional derivative to analyse the structure of the given dynamical model. Using the literature of fixed-point theory, the given time-delay model is specified to have existence of a unique solution. We established different types of graphical simulations for the various values of R0 and R1. We observed a different behaviour of the given fractional model as compare to the integer order model. The given algorithm is smooth in use and reliable to apply on different delay dynamical models. � 2021 Elsevier Ltd