摘要
研究一类具有个体尺度结构的非线性种群控制模型.确立了状态系统模型非负解的存在唯一性,以及状态关于控制变量的连续依赖性.应用紧性推理和极值化序列法证明了最优策略的存在性,借助切锥法锥和共轭系统技巧导出了最优性条件.
We study an optimal harvesting problem for a nonlinear size-structured popu- lation model. The existence of a unique non-negative solution is established, and the continuous dependence of the population density on the harvesting effort is shown. The existence of an op- timal strategy is proved via compactness and extremal sequence, and the optimality conditions are derived by means of normal cone and adjoint system.
出处
《系统科学与数学》
CSCD
北大核心
2012年第9期1109-1120,共12页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(11271104
11061017)资助课题
关键词
尺度结构
种群模型
最优收获
法锥
共轭系统
Size-structure, population model, optimal harvesting, normal cone, adjointsystem
