关于具有二次相关性收获率的捕食与被捕食系统极限环的存在性分析
관우구유이차상관성수획솔적포식여피포식계통겁한배적존재성분석
Existence of limit cycle of a predatory-prey system with the harvesting rates of quadratic correlation
  • 万方数据
    纯粹数学与应用数学 순수수학여응용수학
    PURE AND APPLIED MATHEMATICS
    2015年 4期 414-421 ,共8页

    卢克英%窦霁虹%仲文林%李鹏

    로극영%두제홍%중문림%리붕

    Poincare切性曲线法%平衡点%Hopf 分支%极限环 Poincare切性麯線法%平衡點%Hopf 分支%極限環
    Poincare절성곡선법%평형점%Hopf 분지%겁한배
    Poincare cut curve method%equilibrium point%Hopf bifurcation%limit cycle
    讨论了一类两种群具有二次相关性收获率的捕食与被捕食系统，利用常微分定性方法和分支理论，得到了系统平衡点处的性态和极限环的存在性条件，并用 Matlab 软件对其进行数值模拟，推广了相关文献中两种群捕食模型定性分析的相应结论。
    토론료일류량충군구유이차상관성수획솔적포식여피포식계통，이용상미분정성방법화분지이론，득도료계통평형점처적성태화겁한배적존재성조건，병용 Matlab 연건대기진행수치모의，추엄료상관문헌중량충군포식모형정성분석적상응결론。
    A predatory-prey system with the harvesting rates of quadratic correlation is discussed. Using the qualitative methods of ordinary differential and bifurcation theory to get the conclusions about the state of system equilibrium point, conditions for the existence of limit cycles and carries on the numerical simulation through the software. This paper is a generalization of the related literature about analysis of two species predatory-prey model qualitative.
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