带扩散项单种群模型的精确能控性
대확산항단충군모형적정학능공성
EXACT CONTROLLABILITY OF POPULATION MODEL WITH DIFFUSION
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2009年 6期 699-704 ,共6页

    董旺远%何红英

    동왕원%하홍영

    单种群模型%精确能控性%Carleman不等式%最优控制问题%Kakutani不动点定理 單種群模型%精確能控性%Carleman不等式%最優控製問題%Kakutani不動點定理
    단충군모형%정학능공성%Carleman불등식%최우공제문제%Kakutani불동점정리
    population model%exact controllability%Carleman inequality%optimal control problem%Kakutani fixed point theorem
    本文研究了一类单种群生态模型的精确能控性问题.利用线性化系统的Carleman估计和Kakutani不动点定理,证明了该模型稳态解的局部能控性.它反应了外部控制在种群演变过程中的影响作用.
    본문연구료일류단충군생태모형적정학능공성문제.이용선성화계통적Carleman고계화Kakutani불동점정리,증명료해모형은태해적국부능공성.타반응료외부공제재충군연변과정중적영향작용.
    In this article,we investigate the exact controllability of a class of population model.By using Carleman estimates for the linearized equation and Kakutani fixed point theorem,we establish the local controllability of steady state solutions to this model.The results fully reflect the influence action of external control in evolution of population.
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