IJPAM: Volume 57, No. 3 (2009)
AN APPROACHABLE HAEMATOPOIETIC STEM
CELLS MODEL WITH DIFFUSIONS



Nanjing University of Information and Technology
Nanjing, 210044, P.R. CHINA


Abstract.This paper is concerned with an approachable haematopoietic stem
cells model with a delay and diffusions. The stability of the
equilibria are first considered by analyzing the distribution of the
roots of associated characteristic equation. We then consider the
impact of the diffusions on bifurcated periodic solution, and find
that only small diffusions effect on the numbers of the Hopf
bifurcation critical point under certain conditions.
Received: October 18, 2009
AMS Subject Classification: 34C23, 34C25, 92D25
Key Words and Phrases: cells model, time delay, diffusion, stability, Hopf bifurcation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 3