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

作　　者：汤清凤 张国洪[1] TANG Qing-feng;ZHANG Guo-hong(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2020年第5期108-114,共7页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11701472);教育部基本科研业务费项目(XDJK2017C055).

摘　　要：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.

关 键 词：化疗 饱和转化 HOPF分支 稳定性 

分 类 号：O175[理学—数学]