基于比率的广义Holling-Tanner系统的全局渐近稳定性
기우비솔적엄의Holling-Tanner계통적전국점근은정성
Global Asymptotic Stability for a Ratio-Dependent Generalized Holling-Tanner System
  • 万方数据
    数学研究 수학연구
    JOURNAL OF MATHEMATICAL STUDY
    2011年 3期 309-312 ,共4页

    李维伟%胡宝安%苑学梅

    리유위%호보안%원학매

    广义Holling-Tanner系统%比率依赖%全局渐近稳定 廣義Holling-Tanner繫統%比率依賴%全跼漸近穩定
    엄의Holling-Tanner계통%비솔의뢰%전국점근은정
    Generalized Holling-Tanner system%Ratio-dependent%Global asymptotic stability
    本文对基于比率的广义Holling-Tanner系统进行了定性分析，给出了系统解有界的条件和平衡点局部稳定的条件．通过构造适当的Liapunov函数，得到了正平衡点全局渐近稳定性的充分条件．
    본문대기우비솔적엄의Holling-Tanner계통진행료정성분석，급출료계통해유계적조건화평형점국부은정적조건．통과구조괄당적Liapunov함수，득도료정평형점전국점근은정성적충분조건．
    In this paper a ratio-dependent generalized Holling-Tanner system is discussed. It obtains the condition for the boundary of solution, and the condition for the local stability of the steady state. We get some conditions for global asymptotic stability of the positive steady state by means of constructing a Liapunov function.
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