| 一类含时滞的广义Logistic模型的Hopf分支 |
| |
| 引用本文： | 司瑞霞,陈斯养.一类含时滞的广义Logistic模型的Hopf分支[J].西北师范大学学报,2006,42(6):18-22,26. |
| |
| 作者姓名： | 司瑞霞 陈斯养 |
| |
| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安710062 |
| |
| 基金项目： | 国家自然科学基金;陕西师范大学校科研和教改项目 |
| |
| 摘 要： | 讨论了具有时滞的广义Logistic模型分支周期解的存在性、稳定性及近似分支周期解．用周期函数正交性方法得到了该模型具有Hopf分支的条件及其近似分支周期解的表达式，绘图验证了定理的可实现性，讨论了参数对周期解的周期和振幅的影响．
|
| 关 键 词： | 周期解 Hopf分支 时滞 广义Logistic模型 |
| 文章编号： | 1001-988X（2006）06-0018-05 |
| 收稿时间： | 2006-03-14 |
| 修稿时间： | 2006-03-142006-07-02 |
The Hopf bifurcation of a class of general Logistic model with time delay |
| |
| SI Rui-xia,CHEN Si-yang.The Hopf bifurcation of a class of general Logistic model with time delay[J].Journal of Northwest Normal University Natural Science (Bimonthly),2006,42(6):18-22,26. |
| |
| Authors: | SI Rui-xia CHEN Si-yang |
| |
| Abstract: | The existence, stability and the approximate bifurcation periodic solution of a class of general Logistic model with time delay are discussed. Using the orthogonal method of period function, the conditions that the model contains bifurcation periodic solution and the form of the approximate bifurcation periodic solution are obtained. The achievability of the theorem is proved across drawing the graph of the periodic solution. Finally, the effect of parameters on the amplitude of vibration and the period of the periodic solution are discussed. |
| |
| Keywords: | periodic solution Hopf bifurcation time delay general Logistic model |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
