一类两种群均具有收获率的时滞捕食系统模型
일류량충군균구유수획솔적시체포식계통모형
A Delayed Predator-prey System Model with Harvesting
  • 万方数据
    蚌埠学院学报 방부학원학보
    JOURNAL OF BENGBU COLLEGE
    2015年 1期 31-33 ,共3页

    刘娟%孙礼俊

    류연%손례준

    捕食系统%时滞%收获率%稳定性 捕食繫統%時滯%收穫率%穩定性
    포식계통%시체%수획솔%은정성
    predator-prey system%delay%harvesting%stability
    提出了一类具有Holling－IV类功能性反应和Leslie－Gower修正项的时滞捕食系统模型。以捕食者的消极负反馈时滞为分支参数，研究了系统模型的局部渐近稳定性和局部Hopf分支存在的充分条件。最后，利用数值模拟验证了理论分析结果的正确性。
    제출료일류구유Holling－IV류공능성반응화Leslie－Gower수정항적시체포식계통모형。이포식자적소겁부반궤시체위분지삼수，연구료계통모형적국부점근은정성화국부Hopf분지존재적충분조건。최후，이용수치모의험증료이론분석결과적정학성。
    A modified Leslie-Gower predator-prey system with Holling-IV functional response and time de-lay was proposed in the paper.Local stability and local Hopf bifurcation of the system were investigated by regarding the negative feedback delay as a bifurcation parameter.A numerical example was given to sup-port the theoretical results.
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