Bozkurt, FatmaYousef, AliBilgil, HalisBaleanu, Dumitru2023-07-142023-07-14202320230960-07791873-2887WOS:001014802200001https://doi.org/10.1016/j.chaos.2023.113207https://hdl.handle.net/20.500.12573/1622Yousef, Ali/0000-0002-8824-5947;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.eninfo:eu-repo/semantics/closedAccessStabilityPeriod-DoublingStationary and NeimarkSacker BifurcationsColorectal CancerPiecewise Constant ArgumentsPeriod-Doubling, Stationary and Neimark-Sacker BifurcationsArticle10.1016/j.chaos.2023.1132072-s2.0-85147847616