| 具常数投放率的食饵-捕食者系统定性分析 |
| |
| 引用本文： | 刘皓,张兆强,刘启宽.具常数投放率的食饵-捕食者系统定性分析[J].四川理工学院学报(自然科学版),2011,24(1):44-47. |
| |
| 作者姓名： | 刘皓 张兆强 刘启宽 |
| |
| 作者单位： | 成都信息工程学院数学学院,成都,610225 |
| |
| 基金项目： | 国家自然科学基金，四川省应用基础研究计划资助项目，成都信息工程学院自然科学发展基金 |
| |
| 摘 要： | 对一类广义具常数投放率的食饵-捕食者两类种群模型的定性分析,讨论了系统平衡点的稳定性,用Poincare-Bendixson环域定理得到平衡点外存在稳定极限环的条件.同时对相应结论的生态学意义给予说明,通过用计算机软件Maple进行图形绘制,能够清晰了解轨线的走向和趋势,从而证明了理论分析的正确性.
|
| 关 键 词： | 平衡点 全局稳定性 极限环 Maple软件 |
Qualitative Analysis of Predator-Prey System with Constant Rate Stoking |
| |
| LIU Hao,ZHANG Zhao-qiang,LIU Qi-kuan.Qualitative Analysis of Predator-Prey System with Constant Rate Stoking[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011,24(1):44-47. |
| |
| Authors: | LIU Hao ZHANG Zhao-qiang LIU Qi-kuan |
| |
| Institution: | LIU Hao,ZHANG Zhao-qiang,LIU Qi-kuan(School of Mathematics,Chengdu University of Information Technology,Chengdu 610225,China) |
| |
| Abstract: | In this paper,we studied a predator-prey system with constant rate stoking.We disscussed the stability of equilibrium,used the Poincare-Bendixson's annular theorem to get some sufficient conditions for the existence and stability for limit cycles of such systems stable of the limit cycle around the positive equilibrium of the system,at the same time given meaning to the corresponding conclusions on the ecology.Through carrying on sketch to design with the computer software Maple,we can clearly understand li... |
| |
| Keywords: | equilibrum points global stability limit cycle Maple software |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
