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一类半线性时变种群系统的最优捕获控制
Optimal Harvesting for a Semi-linear Time-Varying Populatin System
【摘要】 讨论了年龄相关的半线性时变种群系统的最优捕获控制问题.根据微积分方程及泛函分析的知识证明了最优捕获控制的存在性,得到了捕获控制为最优的必要条件.
【Abstract】 The optimal utilization of biological resources is very important to environmental protection and economic development. The optimal harvesting problem for a semi-linear age-dependent time-varying population system is discussed. By the theory of integro-partial differential equation and functional analysis, the existence of the optimal harvesting control is proved and the necessary condition for a harvesting control to be optimal is obtained.
【关键词】 半线性种群系统;
最优捕获;
必要条件;
【Key words】 semi-linear population system; optimal harvesting; necessary condition;
【Key words】 semi-linear population system; optimal harvesting; necessary condition;
【基金】 国家自然科学基金(10471021)
- 【文献出处】 应用泛函分析学报 ,Acta Analysis Functionalis Applicata , 编辑部邮箱 ,2005年03期
- 【分类号】O232
- 【被引频次】1
- 【下载频次】74