Willis环状脑动脉瘤模型的概周期解  

Almost Periodic Solutions in the Biomathematical Model of Aneurysm of Circle of Willis

作　　者：杨启贵[1] 江佑霖[1] 

机构地区：[1]广西师范大学数学与计算机科学系,广西桂林541004

出　　处：《生物数学学报》2000年第3期313-318,共6页Journal of Biomathematics

基　　金：广西自然科学基金!(9811021)

摘　　要：运用构造ＬｉａＰｕｎｏｖ函数的方法，证明了一类非线性系统ｘ＋（μ＋ｆ（ｘ））ｘ＋αｘ－βｘ２＋ γｘ３＋ ｇ（ｘ）＝ Ｆｃｏｓｗｔ＋ｅ（ｔ）（其中 α，β，γ，μ均为正数）。This paper investigates the biomathematical model of anecerysm of Willis x+ (μ + f(x))x + αx - βx2 + γx3 + g(x) = F cosωt + e(t) by the method of Liapunov function. It is proved that above nonlinear system exists unique almost periodic solution and the almost periodic solution is asymptotically stable under some conditions, these results in [2-4] are improved and extended.

关 键 词：脑动脉瘤 生物数学模型 LIAPUNOV函数 概周期解 

分 类 号：R739.41[医药卫生—肿瘤] Q－332[医药卫生—临床医学]