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中文摘要：
研究一类含离散时滞和放养项的广义Logistic单种群模型的Hopf分支问题.首先利用函数理论和特征值理论,给出了系统有唯一正平衡态的条件、唯一正平衡态稳定的条件和Hopf分支存在的条件;然后利用周期函数正交性方法得到了分支周期解的近似表达式.
英文摘要：
The Hopf bifurcation of a class of general logistic model with a discrete time delay and stocking item was investigated.At first,according to the function theory and the eigenvalue theory,the conditions of a system which has the only positive equilibrium state,the only positive equilibrium state stability and the existence of the Hopf branch were obtained.Then the form of the approximate periodic solution was obtained by orthogonal conditions.
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