一类时滞模型周期正解的存在性问题

Existence of Positive Periodic Solutions for a Class of Differential Equations with Time Delay

利用非线性锥映射的拓扑度的性质 ,研究了一类时滞微分方程周期正解的存在性问题 ,并将所得结果应用于Nicholson’sblowflies模型 ,证明了在周期环境下 ,Nicholson’sblowflies模型方程存在周期正解。

Existence of positive periodic solutions for a class of delay differential equation is discussed. On the basis of properties of topological degree, the conditions of existence of positive periodic solutions for a class of delay differential equations are presented, the results obtained is also applied to Nicholson's blowflies model.