学术
摘 要:
本文研究了一个三维Chemostat竞争系统的解的结构，分析了平衡点的稳定性和当系统的某一微生物物种处于竞争劣势趋于灭绝时另一微生物物种和养料的二维流形上极限环的存在性，以及系统的Hopf分支问题．文中用Friedrich方法得到了系统存在Hopf分支的条件，并判定了周期解的稳定性．[著者文摘]
文章出处:
《应用数学》-2006年19卷2期 -388-394页
分 类 号:
文献标识码:
A
文章编号:
1000-9847（2006）02-0388-07
The Hopf Bifurcations and Periodic Solutions of a Three Dimensional Chemostat Competition System
ZHOU Yu-ping , HUANG Xun-cheng （Yangzhou Polytechnic College ,Jiangsu Yangzhou 225009,China）
Abstract:
In this paper,the structure of solutions of a three dimensional chemostat competition system is studied. The property of the equilibrium points and the existence of limit cycles on the two dimensional stable manifold When one microorgahism is going to vanish are investigated. Also,by using the Friedrich method, we obtain the conditions for the existence of Hopf bifurcation,and the stability of the periodic solution created by the Hopf bifurcation.[著者文摘]
Key words:
Equilibrium points ; Limit cycles ; Stability ; Hopf bifurcation
基金资助:
江苏电大优秀中青年学术带头人培养基金资助
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