具有尺度结构的三竞争周期种群系统的最优边界控制  

Optimal boundary control for a three-species periodic and competing population system with size-structure

作　　者：卜红彧 BU Hong-yu(Mathematics Department of Science College,Eastern Liaoning University,Dandong 118003,China)

机构地区：[1]辽东学院理学院数学系,辽宁丹东118003

出　　处：《东北师大学报（自然科学版）》2024年第2期43-47,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11665019);辽宁省科技计划项目(W2011162).

摘　　要：研究了在周期环境下,基于尺度结构和加权总规模的3种群非线性竞争系统的最优边界控制问题.由Mazur定理证明了最优边界控制的存在性,得到了由积分-偏微分方程和变分不等式组成的最优性组,给出了控制为最优的必要条件.The optimal boundary control for a three-species competing population system with size-structure and weighted-size is discussed.The existence of the optimal boundary control is proved by Mazur theorem;the optimality system consisting of integral-partial differential equations and variational inequalities is obtained,and the necessary conditions of optimal control is provided.

关 键 词：尺度结构 竞争 周期种群系统 最优边界控制 最优条件 

分 类 号：O231.4[理学—运筹学与控制论]