permanent

Using the comparion theorem of difference equation, persistence theorem of discrete semi-dynamical system and stability of monotonous operator, we gain the boundary, uniform persistence and permanence of the system.

应用差分方程的比较原理 ,离散半动力系统的持久性定理以及单调算子的三分稳定性 ,获得系统的有界性 ,一致持久性 ,永久持久性 。

Using the theorem on discrete semi-dynamicl system and the stability results on monotonous and continuous operator,we obtained the sufficent conditions for uniform boundness,strong and weak persistence and permanence of a discrete system with age-structure subdivided into young and adult population approximately.

应用差分方程的比较原理、离散半动力系统的持久性定理和单调连续算子的三分稳定性获得了一类捕食者具有年龄结构 ,即将捕食者近似地分为幼年和成年种群的离散捕食系统一致有界、弱持久、强持久和永久持久的一组充分条件 。