| 具有反馈控制的广义Logistic模型的Hopf分支 |
| |
| 引用本文： | 伍代勇,蒋秀梅. 具有反馈控制的广义Logistic模型的Hopf分支[J]. 安庆师范学院学报(自然科学版), 2008, 14(3) |
| |
| 作者姓名： | 伍代勇 蒋秀梅 |
| |
| 作者单位： | 安庆师范学院,数学与计算科学学院,安徽,安庆,246133;安徽大学,数学与计算科学学院,安徽,合肥,230039 |
| |
| 摘 要： | 利用特征值理论和奇异摄动,得到了一类具有反馈控制的广义Logistic时滞系统的唯一正平衡态渐近稳定和发生Hopf分支的充分条件,通过若干实例验证了理论分析和数值计算的一致性。
|
| 关 键 词： | 反馈控制 Logistic模型 Hopf分支 |
Hopf Bifurcation of a Generalized Logistic Model with Feedback Regulation |
| |
| WU Dai-yong,JIANG Xiu-mei. Hopf Bifurcation of a Generalized Logistic Model with Feedback Regulation[J]. Journal of Anqing Teachers College(Natural Science Edition), 2008, 14(3) |
| |
| Authors: | WU Dai-yong JIANG Xiu-mei |
| |
| Affiliation: | WU Dai-yong1,JIANG Xiu-mei2(1.School of Mathematics , Computational Science,Anqing teachers college,Anqing 246133,2.School of Mathematics , Computational Science,Anhui University,Hefei 230039,China) |
| |
| Abstract: | Hopf bifurcation of a generalized Logistic model with feedback regulation are investigated.By using the theory of eigenvalues and singular pertubation,some sufficient conditions under which a sequence of Hopf bifurcations occur at the positive equilibrium are obtained.Some examples are also given. |
| |
| Keywords: | Hopf bifurcation Logistic model Feedback regulation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
