An ordinary differential equation (ODE) model of tumor growth with the effect of tumor-immune interaction and chemotherapeutic drug is presented and studied. By analyzing the existence and stability of equilibrium points, the dynamic behavior of the system is discussed elaborately. The chaotic dynamics can be obtained in our model by equilibria analysis, which show the existence of chaos by calculating the Lyapunov exponents and the Lyapunov dimension of the system. Moreover, the action of the infusion rate of the chemotherapeutic drug on the resulting dynamics is investigated, which suggests that the application of chemotherapeutic drug can effectively control tumor growth. However, in the case of high-dose chemotherapeutic drug, chemotherapy-induced effector immune cells damage seriously, which may cause treatment failure.

提出并研究了具有肿瘤免疫相互作用和化疗药物影响的肿瘤生长的常微分方程 (ODE) 模型。通过分析平衡点的存在性和稳定性，详细讨论了系统的动态行为。在我们的模型中可以通过平衡分析获得混沌动力学，通过计算系统的李雅普诺夫指数和李雅普诺夫维数来表明混沌的存在。此外，研究了化疗药物的输注速率对所得动力学的作用，这表明化疗药物的应用可以有效控制肿瘤生长。但在大剂量化疗药物的情况下，化疗引起的效应免疫细胞损伤严重，可能导致治疗失败。