摘要
本文研究了一类非线性时变种群扩散系统的适定性及最优收获问题.利用压缩不 动点原理讨论了该种群系统的解的存在唯一性.证明了最优收获控制的存在性,并且获 得了最优控制的唯一性和所满足的必要条件.
In this paper, we investigate the well posedness and the optimal harvesting problem for a class of nonlinear time-dependent population system with diffusion. Both existence and uniqueness of a positive solution are proven using the fixed point theorem. Existence of the optimal harvesting rate control is given, and the necessary condition for optimality and the uniqueness of the optimal control is obtained.
出处
《系统科学与数学》
CSCD
北大核心
2005年第1期1-12,共12页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10161009)资助课题
