摘要
研究动物体内红血球补充模型 N(t) = r(t)(- μ N(t) + ∑mi= 0 Pie- ri N (t- τi) ), t ≥0其中 r(t) ∈ C([0, + ∞),(0, + ∞)), Pi,ri,τi(i= 0,1,…,m - 1) ∈[0, + ∞), Pm> 0,rm > 0,τm > 0,μ> 0,证明了如果 ∫tt- τr(s)ds ≤ B,∫∞0 r(s)ds = + ∞.则方程的正平衡点是全局吸引子.
In this paper, we obtain a set of condition under which all solutions of the following differential equation (t)=r(t)(-μN(t)+∑mi=0P ie -r iN(t-τ i) ), t≥0 are attracted to the positice equilibrium of the equation. Our results improves the theorem in [1-4] extensively.
出处
《纯粹数学与应用数学》
CSCD
1999年第3期63-67,共5页
Pure and Applied Mathematics
关键词
红血球补充模型
全局吸引子
nonlinear functional differential equation
global attractivity