Stage-Structured Model of a Single-Species with Density-Dependent and Birth Pulses

摘要：

A stage-structured mathematical model of a single-species with density-dependent birth pulses is proposed. We obtain exact periodic solutions of the system with birth pulses and threshold for stability of periodic solutions by studding the discrete dynamical system determined by the stroboscopic map. When the parameter of the system exceeds the threshold, there is a characteristic sequence of bifurcations, leading to chaos, growth law. The approach is based on the application of continuation theorem in Mawhins coincidence degree theory

关键词： density-dependent birth pulse threshold periodic solution chaos

作者: Ming-Yin Du Zhi-Xue Luo Tie-Jun Xing

作者单位: Affiliation: College of Mathematics, Physics & Software Engineering Lanzhou Jiaotong University,Lanzhou 730070, China

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 401-404

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）