方程N′(t)=r(t)N(t)(1-bN(t-τ)-cN^2(t-τ))正平衡点的全局吸引性

Global Attractivity of Positive Equilibrium of the Model N′(t) = N(t)(1-bN(t-τ)-cN^2(t-τ))

本文给出保证平方Ｌｏｇｉｓｔｉｃ方程Ｎ′（ｔ）＝ｒ（ｔ）Ｎ（ｔ）（ｌ-ｂＮ（ｔ-τ）－ｃＮ２（ｔ-τ））的每一正解Ｎ（ｔ）趋于正平衡点Ｎ*的一组充分条件．改进了 Ｇａｐａｌｓａｍｙ，Ｌａｄａｓ和罗交晚等人的结果．

In this paper, the author gives different sufficient conditions that guarantee ev- ery positive solution of the equation N'(t) =r(t)N(t)(l-bN(t-τ）-cN２（t-τ)) to tend to the positive equilibrium N* , some results obtained by Gapasarny, Ladas and Luo are improved.