具时滞的人类呼吸系统模型的稳定性与分支  

Stability and Bifurcation of a Human Respiratory System Model With Time Delay

作　　者：沈启宏[1] 魏俊杰[2] 

机构地区：[1]迈阿密大学数学系 [2]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《应用数学和力学》2004年第11期1169-1181,共13页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19831030)

摘　　要：　研究了描述人类呼吸系统的具时滞的二维微分方程的平凡解的稳定性和Hopf分支·　利用规范型理论和中心流形定理给出了关于分支周期解的稳定性及Hopf分支方向等的计算公式。The stability and bifurcation of the trivial solution in the two_dimensional differential equation of a model describing human respiratory system with time delay were investigated. Formulas about the stability of bifurcating periodic solution and the direction of Hopf bifurcation were exhibited by applying the normal form theory and the center manifold theorem.Furthermore,numerical simulation was carried out.

关 键 词：平凡解 中心流形定理 HOPF分支 时滞 周期解 微分方程 二维 呼吸系统 人类 稳定性 

分 类 号：O175[理学—数学]