一类离散Lotka-Volterra系统持久性态的研究

Permanence for a Discrete Periodic Lotka-Volterra System with Delays

单时滞的Lotka-Volterra竞争系统的持久性,Saito等已经做了比较详尽的讨论,也得到了比较好的结论.但是Saito等只讨论了单时滞系统的情形,对于多时滞的较为复杂的系统并没有进一步讨论.本文将讨论多时滞的Lotka-Volterra竞争系统的持久性.持久性对于一个生态系统而言是一个非常重要的性质.在对系统做了一些合理的限定后,得到了关于该系统持久的一些充分性的结论.

Saito et al investigate the permanence of a discrete periodic Lotka-Volterra competition predator-prey system with delay and get some good results,by focusing on the case of single delay. In this paper,we investigate a discrete periodic Lotka-Volterra competition predator-prey system with delays. The sufficient and realistic results are obtained for the permanence for the above system.