一类含间隙分布时滞的种群增长模型的稳定性

STABILITY OF A TYPE OF POPULATION GROWTH MODEL WITH GAP-DISTRIBUTED DELAY

本文首先利用间隙分布时滞函数来建立更为符合实际的种群增长模型,然后运用两种不同的方法,对其平衡位置的局部稳定性进行了全面的讨论,得出了局部渐近稳定的充分必要条件,在参数平面上划分出了稳定和不稳地的区域。

In this Paper,authors have established a new population growth model by means of a gap-distributed delay,which is more realistic than the distributed delay models. The local stability of the equilibrium of this new model has been investigated in two kind of different methods, and the necessary and sufficient condition under which the equilibrium is asymptotically stable has been obtained. The Stable and instable regions on the parametric plane has been separated.