We analyse the stability properties of a steady state in a complex, strongly nonlinear, system of delay-differential equations with multiple delays, modelling an aggravated phase of cell evolution in Chronic Myelogenous Leukemia. The
competition on space between healthy and leukemic cell populations is taken
into consideration. Three types of division that a stem-like cell can
undergo, asymmetric division, self-renew and differentiation are also
considered. Numerical results and simulations are discussed in relation to
clinical implications of the proposed model..
Key Words: Leukemia, asymmetric division, stability, delay differential equations, cells competition.
2000 Mathematics Subject Classification: Primary: 34K20;
Secondary: 92D25, 92C50.