| OPTIMAL IMPULSIVE CONTROL IN COMPETITIVE SYSTEM |
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| 作者姓名： | Hao Huimin Li Youwen Jin Zhen |
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| 作者单位： | Dept.of Math.，North University of China，Taiyuan 030051 |
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| 基金项目： | the National Natural Science Foundation of China (10471040)，Program for New Century Excellent Talents in University (NCET050271)，the Natural Science Foundation of North University of China (54) |
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| 摘 要： | In this paper,the impulsive exploitation of two species periodic competitive system is considered.First,we show that this type of system with impulsive har- vesting has a unique positive periodic solution,which is globally asymptotically stable.Further,by choosing the maximum total revenues as the management objective,we investigate the optimal harvesting policies for periodic competi- tive system with impulsive harvesting.Finally,we obtain the optimal time to harvest and optimal population level.
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| 关 键 词： | 脉冲 微分 竞争体系 保险单 |
OPTIMAL IMPULSIVE CONTROL IN COMPETITIVE SYSTEM |
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| Hao Huimin Li Youwen Jin Zhen.OPTIMAL IMPULSIVE CONTROL IN COMPETITIVE SYSTEM[J].微分方程年刊(英文版),2007,23(4):410-415. |
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| Authors: | Hao Huimin Li Youwen Jin Zhen |
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| Institution: | Dept. of Math., North University of China, Taiyuan 030051 |
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| Abstract: | In this paper,the impulsive exploitation of two species periodic competitive system is considered.First,we show that this type of system with impulsive har- vesting has a unique positive periodic solution,which is globally asymptotically stable.Further,by choosing the maximum total revenues as the management objective,we investigate the optimal harvesting policies for periodic competi- tive system with impulsive harvesting.Finally,we obtain the optimal time to harvest and optimal population level. |
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| Keywords: | impulsive differential equation competitive system periodic solutions optimal impulsive harvesting policy |
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