In order to better understand the dynamics of acute leukemia, and in particular to find
theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia,
we investigate stability of a system modeling its cell dynamics.
The overall system is a cascade connection of sub-systems consisting of distributed
delays and static nonlinear feedbacks. Earlier results on local asymptotic stability are
improved by the analysis of the linearized system around the positive equilibrium. For the
nonlinear system, we derive stability conditions by using Popov, circle and nonlinear
small gain criteria. The results are illustrated with numerical examples and