Bozkurt, FatmaYousef, AliBilgil, HalisBaleanu, Dumitru2023-07-142023-07-1420230960-07791873-2887WOS:001014802200001http://dx.doi.org/10.1016/j.chaos.2023.113207https://hdl.handle.net/20.500.12573/1622We 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.enginfo:eu-repo/semantics/closedAccessStabilityPeriod-doublingstationary and NeimarkSacker bifurcationsColorectal cancerPiecewise constant argumentsarticle168116