具周期系数的竞争系统最优周期捕获策略

Optimal problem of two sqecies being harvested for competitive system with periodic coefficients

考虑了周期系数的两个竞争种群非自治系统的捕获问题.在保证惟一的全局渐近稳定周期解存在的条件下,以单位时间的持久产出作为最终管理目标,得到相应的最佳种群水平和捕获努力量.

The exploitation of two competitive species modelled by nonatonomous equations with periodic coeficients is considered in this paper. First it is given to the sufficient conditions that guarantee the existenee and global asymptotical tofical stabling of positive periodic solution for the models. Then the maximum sustainable yield per unit time is chosen as managemnent objeetive,the sorresponding optimal population level are determined.