具有捕获项的差分竞争系统的动力学行为的研究

Dynamical Behavior of a Difference Competitive System Incorporating Harvesting

本文提出并研究了一类具有捕获项的概周期差分竞争系统.首先利用差分不等式的有关理论以及技巧性的计算,获得了保证该系统持久的充分性条件;其次运用概周期的有关定义和结论,得到了该系统唯一的一致渐近稳定的概周期解;例子及其数值模拟也表明我们的结果是可行的.

In this paper,we propose and study a class of almost periodic discrete harvesting competition system.With the help of the theory of difference inequality and some calculate technique,sufficient conditions are obtained to ensure the permanence of the system.By applying the relevant theorems of discrete almost periodic system,sufficient conditions which ensure the existence,uniqueness and uniformly asymptotical stability of almost periodic solution of the system are estabilished.The plausibility of the main results are demonstrated by some numerical simulations.