一类生态系统中孤立不变集的指标和联络
일류생태계통중고립불변집적지표화련락
The Index and Connection of Isolated Invariant Sets of a Class Ecological Systems
  • 万方数据
    数学学报 수학학보
    ACTA MATHEMATICA SINCA
    2000年 5期 937-946 ,共10页

    郑作环%赵呈东%乔京成

    정작배%조정동%교경성

    生态系统%孤立不变集%Conley指标%联络 生態繫統%孤立不變集%Conley指標%聯絡
    생태계통%고립불변집%Conley지표%련락
    Ecological systems%Isolated invariant sets%Conley index%Connection
    对于一类生态模型产生的流,本文通过计算流的孤立不变集的Conley指标来分析它的结构.当流的休止点都是双曲时,进一步讨论了这些休止点间联络的唯一性.这些结果推广了［4］中的相应结果.
    대우일류생태모형산생적류,본문통과계산류적고립불변집적Conley지표래분석타적결구.당류적휴지점도시쌍곡시,진일보토론료저사휴지점간련락적유일성.저사결과추엄료［4］중적상응결과.
    In this paper, we discuss the global structure of the flows definedby a class of ecological systems, by computing the Conley index of their isolatedinvariant sets. Moreover, for the rest points which are all hyperbolic, westudy the uniqueness of the connections between them. So the correspondingresults in ［4］ have been improved.
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