IJPAM: Volume 57, No. 3 (2009)

STABILITY AND HOPF BIFURCATION FOR
AN APPROACHABLE HAEMATOPOIETIC STEM
CELLS MODEL WITH DIFFUSIONS

Xiao-Ling Li$^1$, Guang-Ping Hu$^2$
$^{1,2}$School of Mathematics and Physics
Nanjing University of Information and Technology
Nanjing, 210044, P.R. CHINA
$^1$e-mail: lxl871@nuist.edu.cn
$^2$e-mail: hugp@nuist.edu.cn


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