摘要
讨论了一类与年龄相关的非线性种群扩散系统的最优捕获控制问题,证明了最优捕获控制的存在性,并给出了控制为最优的必要条件.这些结果可为非线性种群扩散系统最优控制问题的实际研究提供理论基础.
This paper discusses the optimal harvesting control problem for a class of nonlinear age-dependent population diffusion system.It proves the existence of the optimal harvesting control and obtains the necessary conditions for a control to be optimal.These results can provide a theoretical basis for the pratical study of the optimal control problems in age-dependent population system with diffusion.
出处
《西南民族大学学报(自然科学版)》
CAS
2006年第6期1115-1119,共5页
Journal of Southwest Minzu University(Natural Science Edition)
关键词
非线性
种群扩散系统
最优捕获控制
必要条件
nonlinear
population diffusion system
optimal harvesting control
necessary condition