Existence of periodic solutions in the modified Wheldon model of CML
Abstract
The Wheldon model (1975) of a chronic myelogenous leukemia
(CML) dynamics is modified and enriched by introduction of a time-varying
microenvironment and time-dependent drug efficacies. The resulting model is a
special class of nonautonomous nonlinear system of differential equations with
delays. Via topological methods, the existence of positive periodic solutions
is proven. We introduce our main insight and formulate some relevant open
problems and conjectures.