论文标题
具有线性和非线性术语延迟的非自主差分系统的永久性
Permanence for nonautonomous differential systems with delays in the linear and nonlinear terms
论文作者
论文摘要
在本文中，我们获得了足够的条件，以使延迟微分方程的非自主系统的永久性。该家族包括来自数学生物学的结构化模型，在线性和非线性术语中都具有离散或分布式延迟，而通常非线性项是非单调的。给出了通用尼科尔森或麦基玻璃系统的应用。
In this paper, we obtain sufficient conditions for the permanence of a family of nonautonomous systems of delay differential equations. This family includes structured models from mathematical biology, with either discrete or distributed delays in both the linear and nonlinear terms, and where typically the nonlinear terms are nonmonotone. Applications to generalized Nicholson or Mackey-Glass systems are given.
