一类黑色素瘤模型的Hopf分支的频域分析  

Hopf bifurcation analysis in the frequency domain for a 5D model of melanoma

作　　者：杨睿丰 常玉 YANG RuiFeng;CHANG Yu(College of Mathematics and Physics,Beijing University of Chemical Technology,Beijing 100029,China)

机构地区：[1]北京化工大学数理学院,北京100029

出　　处：《北京化工大学学报(自然科学版)》2025年第2期110-115,共6页Journal of Beijing University of Chemical Technology(Natural Science Edition)

摘　　要：主要研究了细胞毒性T淋巴细胞衰减率对黑色素瘤模型分支动态的影响。应用频域分支理论和高阶调和平衡法,证明了Hopf分支的存在性;对由Hopf分支产生的周期轨的解析表达式、频率及振幅给出了高精度的近似估计,从而证明了细胞毒性T淋巴细胞衰减率是导致黑色素瘤细胞数量发生周期性振荡现象的重要因素。This work studies the influence of the cytotoxic T lymphocyte(CTL)death rate on the bifurcation of a 5D melanoma model.The existence of Hopf bifurcation is analyzed using bifurcation theory and higher-order har-monic balance method in the frequency domain.In particular,the fourth-order harmonic balance approximations to the frequency and the amplitude of the periodic solution,and the analytical expressions for the solution are given.All the results verify that the CTL death rate is an important factor leading to the periodic oscillation of melanoma cell number.

关 键 词：HOPF分支 频域 高阶调和平衡法 

分 类 号：O193[理学—数学]