| 具周期系数的竞争系统最优周期捕获策略 |
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| 引用本文： | 柏灵,王克.具周期系数的竞争系统最优周期捕获策略[J].东北师大学报(自然科学版),2005,37(3):125-127. |
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| 作者姓名： | 柏灵 王克 |
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| 作者单位： | 吉林大学数学科学学院,吉林,长春,130061;东北师范大学数学与统计学院,吉林,长春,130024;东北师范大学数学与统计学院,吉林,长春,130024 |
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| 基金项目： | 国家自然科学基金，教育部重点项目 |
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| 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.
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| 关 键 词： | 周期竞争系统 全局稳定 最优捕获策略 欧拉方程 |
| 文章编号： | 1000-1832(2005)03-0125-03 |
| 收稿时间： | 12 17 2004 12:00AM |
| 修稿时间： | 2004年12月17 |
Optimal problem of two sqecies being harvested for competitive system with periodic coefficients |
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| BAI Ling,WANG Ke.Optimal problem of two sqecies being harvested for competitive system with periodic coefficients[J].Journal of Northeast Normal University (Natural Science Edition),2005,37(3):125-127. |
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| Authors: | BAI Ling WANG Ke |
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| Abstract: | 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. |
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| Keywords: | periodic competitive systems global stable optimal harvest policy Euler- Lag-range equation |
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