Global Analysis of a class of Competition Model

摘要：

A competition model, which is different from the classical Voiterra competition model, is investigated. In this model, it is assumed that one species has a constant recruitment rate and is with the density-independent death. For this model, the threshold ensuring the existence of positive equilibrium is found, two positive equilibria may coexist for some parameter values, and the phenomena of bistability may happen. Its global dynamical behaviors are analyzed completely, and the biological meaning of the results obtained is introduced.

关键词： competition model threshold equilibrium stability

作者: Long Yan Jianquan Li Yali Yang

作者单位: Department of Applied Mathematics and Physics, Air Force Engineering University, Xian, 710051, China

会议类型: 国际会议

会议名称: 中国数学会生物数学分会第六届学术年会

会议地点: 山东泰安

会议语种:英文

页码: 372-375

在线出版日期: 2008-07-25（万方平台首次上网日期，不代表论文的发表时间）