| 具有收获率的微分生态模型的极限环 |
| |
| 引用本文： | 刘娟,李医民.具有收获率的微分生态模型的极限环[J].茂名学院学报,2011,21(3):70-72,82. |
| |
| 作者姓名： | 刘娟 李医民 |
| |
| 作者单位： | 1. 蚌埠学院,理学系,安徽,蚌埠,233030
2. 江苏大学,理学院,江苏,镇江,212013 |
| |
| 基金项目： | 国家自然科学基金资助项目(11072090); 蚌埠学院自然科学基金资助项目(2010ZR16) |
| |
| 摘 要： | 在食饵种群具有常数收获率的生态系统的基础上,研究了一类捕食者种群、食饵种群同时具有收获率的微分生态系统,其中食饵种群、捕食者种群都具有密度制约。应用微分方程定性理论讨论了系统的平衡点,对平衡点的渐近稳定性做出了分析,得出：当给定参数满足一定条件时系统不存在极限环。利用Bendixson环域定理证明了该系统极限环的存在性。
|
| 关 键 词： | 微分生态系统 收获率 稳定性 极限环 |
Limit Cycle of a Differential Ecosystem with Harvesting Rates for Preys and Predators |
| |
| LIU Juan,LI Yi - min.Limit Cycle of a Differential Ecosystem with Harvesting Rates for Preys and Predators[J].Journal of Maoming College,2011,21(3):70-72,82. |
| |
| Authors: | LIU Juan LI Yi - min |
| |
| Institution: | LIU Juan1,LI Yi-min2(1.Department of Science,Bengbu College,Bengbu 233030,China,2.Faculty of Science,Jiangsu University,Zhenjiang 212013,China) |
| |
| Abstract: | Based on ecosystem with constant harvesting rate for preys,a differential ecosystem with harvesting rates for preys and predators is studied.The system's equilibrium point is discussed by using differential equations qualities theory and the stability of equilibrium point is analysed.The nonexistence of the system's limit cycle is obtained if the given parameter satisfied certain conditions.By using Bendixson theorem,the existence of the system's limit cycle are proved.It is obtained that the density of pre... |
| |
| Keywords: | differential ecosystem harvesting rates stability limit cycle |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
