带环境污染的与年龄相关的非线性种群动力系统的最优控制

Optimal Control for Nonlinear Age-Dependent Population System in a Polluted Environment

研究带环境污染的与年龄相关的非线性种群动力系统的最优控制问题,利用不动点定理得出系统非负解的存在性和唯一性,利用极大化序列及紧性证明最优控制的存在性,利用法锥方法得到控制问题的最优条件.

In this paper,we study an optimal problem for nonlinear age-dependent population hybrid system in a polluted environment,the existence and uniqueness of nonnegative solution of this model is obtained by using a fixed point theorem,the existence of optimal control policy is verified by means of maximum principle,the optimality conditions for the control problem are given by means of tangent-normal cone techniques.