摘要
研究含离散时滞造血模型的渐近性及周期解.利用函数的单调性、构造Lyapunov函数、分支理论及周期函数正交性等方法分别得到了该模型正平衡态的存在唯一性的充要条件、全局吸引性的充分条件、分支周期解的近似表达式.运用Matlab举出实例并绘出了血液模型数值解的拟合图象.
The global asymptoticy of the positive equlibria and Hopf bifurcation periodic solution in a hematopoiesis model with decrete delays are studied. The necessary and sufficient conditions of the existence and uniquity of the positive equlibria by applying functional derivative is obtained, the global attractiveness of the positive equlibria is investigated by stucturing Lyapunov function and bifurcation values for the existence of bifurcation periodic solution are derived and the form of the approximate peridic solution is obtained by using the solvability condition. Some specific examples are given and the solution diagrame appears by Matlab.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2007年第4期555-560,共6页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(60671063)
陕西师范大学青年科研基金(2002年)
关键词
造血模型
周期解
全局渐近性
HOPF分支
hematopoiesis
periodic solution
global asymptoticy
Hopf bifurcation
