一类具Holling Ⅲ型功能反应的捕食者-食饵模型的定性分析
일류구Holling Ⅲ형공능반응적포식자-식이모형적정성분석
Qualitative Analysis on a Class of Predator-prey Model with Holling Ⅲ Functional Response
  • 万方数据
    生物数学学报 생물수학학보
    JOURNAL OF BIOMATHEMATICS
    2004年 4期 395-402 ,共8页

    王育全%马军英

    왕육전%마군영

    捕食者-食饵模型%极限环%稳定性%Hopf分支 捕食者-食餌模型%極限環%穩定性%Hopf分支
    포식자-식이모형%겁한배%은정성%Hopf분지
    Predator-prey model%Limit cycles%Stability%Hopf bifurcation
    研究一类具Holling Ⅲ型功能反应的捕食者-食饵模型.应用定性分析和Hopf分支理论,得到了一个正平衡点的全局稳定性、三个正平衡点的局部稳定性和极限环的存在性的充分条件.使用MATLAB软件,本文给出了三个例子来模拟这些结论.
    연구일류구Holling Ⅲ형공능반응적포식자-식이모형.응용정성분석화Hopf분지이론,득도료일개정평형점적전국은정성、삼개정평형점적국부은정성화겁한배적존재성적충분조건.사용MATLAB연건,본문급출료삼개례자래모의저사결론.
    A predator-prey systems with Holling Ⅲ functional response is investigated. By using qualitative analysis and Hopf bifurcation theory, the sufficient conditions of the global stability, and the local stability of the three positive equilibria,and existence of one limit cycle are obtained. Using MATLAB software, we present three examples to simulate these conditions.
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