一个单种群时滞微分方程模型的全局吸引性(英文)

Attractivity of the Steady State in a Single Species Differential Delay Model

研究了一个单种群时滞微分方程模型.给出了其平衡点吸引其正解得充分条件.应用本文结论对于两个例子进行讨论,得到其平衡点全局吸引性的新结果.

The attractivity of the equilibrium point of a single species differential delay equation x（t） = -μx（t） ＋ f（x（t-τ）） is studied. Some sufficient conditions are given, under which the solution x（t） with 0 〈 x（0） 〈 x＊ is attracted by the steady state x＊. Two examples are discussed by applying the main results, and new results on them are obtained.