考虑化疗及静息免疫细胞饱和转化的肿瘤模型

A Tumor Model Considering Chemotherapy and Saturated Transformation of Resting Immune Cells

讨论了一个考虑化疗及静息免疫细胞饱和转化的肿瘤模型.研究了灭绝平衡点、无免疫平衡点、无肿瘤平衡点及共存平衡点的局部稳定的条件,得到了在共存平衡点处产生Hopf分支的条件.最后用数值模拟验证了相关的结论.

In this paper,a tumor model considering chemotherapy and saturated transformation of resting immune cells is discussed.The conditions of local stability of extinction equilibrium point,non-immune equilibrium point,tumor-free equilibrium point and coexistence equilibrium point are studied.The conditions of Hopf bifurcation at the coexistence equilibrium point are obtained.Finally,the relevant conclusions are verified by numerical simulation.