Qualitative Analysis of a ratio-dependent Chemostat Model with Holling-(n+1) Type Functional Response

摘要：

　　In this paper,the ratio-dependent chemostat model with Holling-(n+l) type functional response is considered.The model develops the Monod model and the ratio-dependent model.By use of the Poincar-Bendixson theory we prove the existence of limit cycle.Detailed qualitative analysis about the global asymptotic stability of its equilibria is carried out by using the Lyapunov-LaSalle invariant principle and the method of Dulac criterion.

关键词： Chemostat Hopf Bifurcation Limit Cycle Lyapunov-LaSalle Invariance Principle Stability

作者: Qinglai Dong Mingjuan Sun

作者单位: School of Mathematics and Computer Science, Yanan University, Yanan 716000, China

会议类型: 国际会议

会议名称: 2012 The 2nd International Conference on Biotechnology,Chemial and Materials Engineering(第二届生物、化工和材料工程国际会议(CBCME2012))

会议地点: 厦门

会议语种:英文

页码: 947-950

在线出版日期: 2012-12-28（万方平台首次上网日期，不代表论文的发表时间）