| 具有改进的Leslie-Grower式的Holling-Tanner模型的稳定性分析 |
| |
| 引用本文： | 纪丽丽,吴承强.具有改进的Leslie-Grower式的Holling-Tanner模型的稳定性分析[J].福州大学学报(自然科学版),2009,37(6). |
| |
| 作者姓名： | 纪丽丽 吴承强 |
| |
| 作者单位： | 福州大学数学与计算机科学学院; |
| |
| 基金项目： | 福建省自然科学基金资助项目(2006J0209); 福州大学科技发展基金资助项目(2005-XQ-20) |
| |
| 摘 要： | 研究一个具有改进的Leslie-Grower式的Holling-Tanner模型.分析了该系统的平衡点性态,利用Dulac函数证明了系统在正平衡点外围不存在极限环,从而证明了正平衡点在第一象限内是全局渐近稳定的.
|
| 关 键 词： | Holling-Tanner模型 Leslie-Grower Dulac函数 极限环 |
Limit cycles of a Holling-Tanner model with modified Leslie-Grower |
| |
| JI Li - li,WU Cheng - qiang.Limit cycles of a Holling-Tanner model with modified Leslie-Grower[J].Journal of Fuzhou University(Natural Science Edition),2009,37(6). |
| |
| Authors: | JI Li - li WU Cheng - qiang |
| |
| Institution: | JI Li - li,WU Cheng - qiang (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China) |
| |
| Abstract: | We considered a Holling - Tanner model with modified Leslie - Grower. The existence and stability of the equilibria of the system are analyzed. It is proved that there is no limit cycle around the positive equilibra by constructing Dulac function,thus global asymptotic stability of the positive equi- libria is proved in the first quadrant. |
| |
| Keywords: | Holling - Tanner model Leslie - Grower Dulac function limit cycle |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《福州大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《福州大学学报(自然科学版)》下载免费的PDF全文 |
