Article contents
Stability Analysis of a Feedback Model for the Action of the Immune System in Leukemia
Published online by Cambridge University Press: 07 February 2014
Abstract
A mathematical model, coupling the dynamics of short-term stem-like cells and mature leukocytes in leukemia with that of the immune system, is investigated. The model is described by a system of seven delay differential equations with seven delays. Three equilibrium points E0, E1, E2 are highlighted. The stability and the existence of the Hopf bifurcation for the equilibrium points are investigated. In the analysis of the model, the rate of asymmetric division and the rate of symmetric division are very important.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 9 , Issue 1: Issue dedicated to Michael Mackey , 2014 , pp. 108 - 132
- Copyright
- © EDP Sciences, 2014
References
- 6
- Cited by