Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1890795 | Chaos, Solitons & Fractals | 2006 | 9 Pages |
Abstract
A kind of a discrete red blood cell survival model obtained by Euler method is investigated. Firstly, the linear stability of the model is studied. It is found that there exist Hopf bifurcations when the delay passes a sequence of critical values. Then the explicit algorithm for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived by using the normal form method and center manifold theorem. Finally, computer simulations are performed to illustrate the analytical results found.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Chunrui Zhang, Yuangang Zu, Baodong Zheng,