Global attractivity of periodic solution in a model of hematopoiesis

被引:17
作者
Weng, PX [1 ]
机构
[1] S China Normal Univ, Dept Math, Guangzhou, Peoples R China
关键词
hematopoiesis; periodic solution; global attractivity;
D O I
10.1016/S0898-1221(02)00211-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Sufficient conditions are obtained for the global attractivity of a positive periodic solution for the periodic equation dP(t)/dt = -delta(t)P(t) - beta(t)P(t)/1+P-n(t) + alpha(t) integral(0)(infinity) K(s) P(t-s)/1+P-n(t-s) ds, for n > 0, where delta(t), beta(t), alpha(t) are continuous positive periodic function on [0,infinity) with a period omega > 0 and K(s) is a delay kernel. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1019 / 1030
页数:12
相关论文
共 12 条
  • [1] Barbalat I., 1959, REV ROUMAINE MATH PU, V4, P267
  • [2] CORDUNEANN C, 1973, INTEGRAL EQUATIONS S
  • [3] GOPALSAMY K, 1990, DYNAMICS DIFFERENTIA, V2, P117
  • [4] LI SL, 1986, FUNCTIONAL DIFFERENT
  • [5] Mackey M.C., 1981, BIOMATHEMATICS CELL, P23
  • [6] PERIODIC AUTOIMMUNE HEMOLYTIC-ANEMIA - INDUCED DYNAMICAL DISEASE
    MACKEY, MC
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 1979, 41 (06) : 829 - 834
  • [7] MACKEY MC, 1978, BLOOD, V51, P941
  • [8] OSCILLATION AND CHAOS IN PHYSIOLOGICAL CONTROL-SYSTEMS
    MACKEY, MC
    GLASS, L
    [J]. SCIENCE, 1977, 197 (4300) : 287 - 288
  • [9] MACKEY MC, 1982, FUNK BIOL MED, V1, P156
  • [10] WENG PX, 2001, J S CHINA NORMAL U N, P12