一类Nicholson's blowflies模型的全局吸引性和振动性

Global Attractivity and Oscillation in a Kind of Nicholson's Blowflies

本文研究了带有多个滞后变量的Ｎｉｃｈｏｌｓｏｎ’ｓ ｂｌｏｗｆｌｉｅｓ动态模型Ｎ（ｔ）＝－δＮ（ｔ）＋ΣＰｉＮ（ｔ-τｉ）ｅ-ａｉＮ（ｔ-τｉ）的全局吸引性和振动性，获得了该方程的正平衡解为全局稳定的充分条件以及其所有正解关于该平衡解振动的充分条件．

In this paper, global attractivity and oscillation for Nicholson's blowflies with several de1ays are studied. Sufficient criterions are obtained for positive equilibrium of this eqa- tion to be globally stable and its every positive solution about the positive equilibrium to be oscil1atory.