| 一类时滞生态经济微分代数系统的建模与分析 |
| |
| 引用本文： | 张俊艺,曹文营,赵中.一类时滞生态经济微分代数系统的建模与分析[J].信阳师范学院学报(自然科学版),2014(3):319-322. |
| |
| 作者姓名： | 张俊艺 曹文营 赵中 |
| |
| 作者单位： | 1. 黄淮学院数学科学系,河南驻马店,463000
2. 驻马店市第二初级中学,河南驻马店,463000 |
| |
| 基金项目： | 国家自然科学基金项目(11371164)；国家自然科学基金-河南省人才培养联合基金项目( U1304104)；河南省科技厅项目 |
| |
| 摘 要： | 建立了一类时滞生态经济微分代数系统,并研究了其正平衡点的稳定性.当以时滞为分支参数时,利用微分代数系统的标准型和中心流形等理论和方法,讨论了该系统在其正平衡点处的Hopf分支及其分支方向.
|
| 关 键 词： | 稳定性 Hopf分支 收获 微分代数系统 |
Modelling and Analysis of a Delayed Differential-algebraic Biological Economic System |
| |
| Zhang Junyi,Cao Wenying,Zhao Zhong.Modelling and Analysis of a Delayed Differential-algebraic Biological Economic System[J].Journal of Xinyang Teachers College(Natural Science Edition),2014(3):319-322. |
| |
| Authors: | Zhang Junyi Cao Wenying Zhao Zhong |
| |
| Institution: | Zhang Junyi;Cao Wenying;Zhao Zhong;Department of Mathematics,Huanghuai University;The Second Junior Middle School of Zhumadian; |
| |
| Abstract: | A delayed differential-algebraic biological economic system was formulated and the stability of its positive equlibrium was investigated. By using the normal form approach and center manifold theory of the differential-algebraic system,the Hopf bifurcation of the differential-algebraic biological economic system was discussed where the time delay was considered as a paramter of bifurcation. |
| |
| Keywords: | stability Hopf bifurcation harvesting differential-algebraic system |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
