Stability and Bifurcation of a Delayed Singular Prey-predator Economic Model

摘要：

This paper studies a delayed singular preypredator economic model, which is described by differentialalgebraic equations due to a economic theory. Local stability and Hopf bifurcation condition are described on the delayed singular prey-predator economic model. It reveals the sensitivity of the model dynamics on gestation time delay. A phenomenon of Hopf bifurcation occurs as the gestation time delay increases through a certain threshold. Numerical simulations are carried out to substantiate these theory analysis.

关键词： Singular bioeconomic model Gestation delay Hopf bifurcation

作者: Yue Zhang Qingling Zhang

作者单位: Institute of Systems ScienceNortheastern UniversityShenyang, China Institute of Systems Science Northeastern University Shenyang, China

会议类型: 国际会议

会议名称: 2012 International Conference on Intelligent System Design and Engineering Applications(2012年智能系统设计与工程应用国际会议 ISDEA 2012)

会议地点: 三亚

会议语种:英文

页码: 928-931

在线出版日期: 2012-01-06（万方平台首次上网日期，不代表论文的发表时间）