Uniqueness of Limit Cycle of a Class of Predator-Prey Model

摘要：

In this paper, we consider a predator-prey system. First, by constructing Liapunov function, we establish the sufficient conditions for the global stability of positive equilibrium. Second, through a simple change of variables, we transform the model to a better studied Lienard equation. As a result, the uniqueness of limit cycle can be solved.

作者: Zhiqing Liang

作者单位: Department of Mathematics and Computer Science Yulin Normal University Yulin 537000, P.R.china

会议类型: 国际会议

会议名称: Fourth International Conference on Impulsive and Hybrid Dynamical Systems(ICIHDS 2007)(第四届国际脉冲和混合动力系统学术会议)

会议地点: 南宁

会议语种:英文

在线出版日期: 2007-07-20（万方平台首次上网日期，不代表论文的发表时间）