欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
学术信息
SEMINARS
Global bifurcation analysis on a single species population model
时间  Datetime
2017-12-06 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Hongying Shu
单位  Affiliation
Tongji University
邀请人  Host
Yilei Tang
报告摘要  Abstract

We first consider a class of stage-structured differential equations. By using the time delay as a bifurcation parameter, we analytically prove that these local Hopf bifurcation values are neatly paired, and each pair is jointed by a bounded global Hopf branch. We use the well-known Mackey–Glass equation with a stage structure as an illustrative example to demonstrate that bounded global Hopf branches can induce interesting and rich dynamics. We then study the dynamics of a delayed diffusive hematopoiesis model with Dirichlet boundary conditions. we show that the only positive steady state is a constant solution. By using the delay as a bifurcation parameter, we show that the model has infinite number of Hopf bifurcation values and the global Hopf branches bifurcated from these values are unbounded, which indicates the global existence of periodic solutions.