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一类含时滞和放养的广义Logistic单种群模型的Hopf分支

, PP. 30-34

Keywords: 广义Logistic模型,时滞,稳定性,Hopf分支,周期解

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Abstract:

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.

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