具年龄结构的离散捕食系统的动力学行为

Dynamics of Discrete Predator-Prey System with Age-Structure

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 .讨论了模型的生物意义 ,并且应用实际例子验证了以上结果 ,对于控制生态平衡 ,具有重要的理论意义 .

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.We also discuss its biological sense and use a specific examples to testify the above results. Undoubtedly it is very important for us to keep the balance of nature.