一类非线性周期种群系统最优收获控制的必要条件

Necessary Condition of Optimal Harvesting Control for A Class of Nonlinear Periodic Population System

讨论一类非线性周期种群系统的最优收获控制问题.利用Gteax微分和Lions的变分不等式理论推得了控制为最优的一阶必要条件,得到了由积分-偏微分方程和变分不等式构成的最优性组,由最优性组确定最优控制.

This paper discussed the optimal harvesting control for a class of nonlinear periodic population system. we obtain the necessary conditions for a control to be optimal,using differential and Lionstheory of variation inequalities; and then the optimality system consisting of integral partial differential equation and variation inequalities is obtained. The optimality system can determine optima control.