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

作　　者：柏灵[1] 王克[2] 

机构地区：[1]吉林大学数学科学学院,吉林长春130061 [2]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》2005年第3期125-127,共3页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10171010;10201005);教育部重点资助项目(No.01061)

摘　　要：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.

关 键 词：周期竞争系统 全局稳定 最优捕获策略 欧拉方程 

分 类 号：O175.12[理学—数学]