| 一类含时滞和放养的广义Logistic单种群模型的Hopf分支 |
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| 引用本文： | 郎书华,陈斯养. 一类含时滞和放养的广义Logistic单种群模型的Hopf分支[J]. 安徽大学学报(自然科学版), 2010, 34(1) |
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| 作者姓名： | 郎书华 陈斯养 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安710062 |
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| 基金项目： | 国家自然科学基金资助项目(60671063;10871122) |
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| 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.
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| 关 键 词： | 广义Logistic模型 时滞 稳定性 Hopf分支 周期解 |
Hopf bifurcation of a class of general Logistic model with time delay and stocking |
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| LANG Shu-hua,CHEN Si-yang. Hopf bifurcation of a class of general Logistic model with time delay and stocking[J]. Journal of Anhui University(Natural Sciences), 2010, 34(1) |
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| Authors: | LANG Shu-hua CHEN Si-yang |
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| Affiliation: | College of Mathematics and Information Science;Shanxi Normal University;Xi'an 710062;China |
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| Abstract: | 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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| Keywords: | general Logistic model time delay stability Hopf bifurcation periodic solution |
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