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Browsing by Author "Bilgil, Halis"

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    Citation Count: Bozkurt, Fatma...et al. (2023). "A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy", Chaos Solitons & Fractals, Vol.168.
    A mathematical model with piecewise constant arguments of colorectal cancer with chemo-immunotherapy
    (2023) Bozkurt, Fatma; Yousef, Ali; Bilgil, Halis; Baleanu, Dumitru; 56389
    We propose a new mathematical model with piecewise constant arguments of a system of ODEs to investigate the growth of colorectal cancer and its response to chemo-immunotherapy. Our main target in this paper is to analyze and represent the I.S.'s (immune system) efficiency during the chemotherapeutic process. Therefore, we proved and illustrated the necessity of IL-2 that supports the immune system, especially in early-detected cases of tumor density. Thus, the constructed model has been divided into sub-systems: the cell populations, the effects of the medications doxorubicin, and IL-2 concentration.Firstly, we analyze the stability of the equilibrium points (disease-free and co-existing) using the RouthHurwitz criteria. In addition, our study has shown that the system undergoes period-doubling, stationary and Neimark-Sacker bifurcations based on specific conditions. In the end, we illustrate some simulations to assist the theory of the manuscript.