具反馈控制单种群食物有限模型稳定性研究
구반궤공제단충군식물유한모형은정성연구
On the Stability Property of a Single Species Food Limited Population Model with Feedback Control
  • 万方数据
    数学研究 수학연구
    JOURNAL OF MATHEMATICAL STUDY
    2011年 4期 418-424 ,共7页

    阮育清%杨慧涛%张惠英

    원육청%양혜도%장혜영

    反馈控制%食物有限模型%Bendixson-Dulac判别法%稳定性 反饋控製%食物有限模型%Bendixson-Dulac判彆法%穩定性
    반궤공제%식물유한모형%Bendixson-Dulac판별법%은정성
    Feedback control%food limited population model%Bendixson-Dulac criterion%Global stability
    研究具有反馈控制的食物有限模型．首先探讨了该系统的平衡点的局部稳定性态，其次借助于Bendixson-Dulac判别法证得系统不存在闭轨线，由此知系统的正平衡点是全局吸引的．
    연구구유반궤공제적식물유한모형．수선탐토료해계통적평형점적국부은정성태，기차차조우Bendixson-Dulac판별법증득계통불존재폐궤선，유차지계통적정평형점시전국흡인적．
    In this paper, a single species food limited population model with feedback control is studied. We first investigate the local stability property of the equilibrium of the system, next, by applying Bendixson-Dulac criterion, we are able to show that the unique positive equilibrium is global stability.
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