| 基于有限时滞的Volterra捕食系统的分支解 |
| |
| 引用本文： | 刘三红. 基于有限时滞的Volterra捕食系统的分支解[J]. 甘肃科学学报, 2008, 20(4) |
| |
| 作者姓名： | 刘三红 |
| |
| 作者单位： | 咸宁学院,数学系,湖北,咸宁,437100 |
| |
| 基金项目： | 湖北省教育厅自然科学基金，咸宁学院重点科研基金 |
| |
| 摘 要： | 较深入地研究了具有有限时滞的极限增长Lotka-Volterra捕食系统分支解的性态.以时滞τ为参数,利用中心流形定理和规范形理论分析了在0τ处出现Hopf分支周期解的方向及稳定性,并提供了计算其方向和稳定性的计算公式.
|
| 关 键 词： | 时滞 中心流形 Hopf分支 超(次)临界分支 |
The Solutions of Hopf Bifurcation in a Class of Ecological Systems with Finite Delay |
| |
| LIU San-hong. The Solutions of Hopf Bifurcation in a Class of Ecological Systems with Finite Delay[J]. Journal of Gansu Sciences, 2008, 20(4) |
| |
| Authors: | LIU San-hong |
| |
| Affiliation: | Department of Mathematics;Xianning College;Xianning 437100;China |
| |
| Abstract: | The properties of the solution in Predator-prey system with finite delay are studied in much detail.With time lag τ as a parameter,using the center manifold theorem and the normal form theory,we have obtained calculation formulas which reflect the stability with Hopf bifurcating periodic solution and bifurcating direction.Thus it provides a basis for numerical simulation calculation. |
| |
| Keywords: | time lag center manifold hopf bifurcation supercritical bifurcation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
