Existence of periodic solutions in the modified Wheldon model of CML

PABLO AMSTER; ROCÍO BALDERRAMA; LEV IDELS

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

electronica

Año: 2013 vol. 2013 p. 1 - 14

1072-6691

The Wheldon model (1975) of a chronic myelogenous leukemia (CML) dynamics is modied and enriched by introduction of a time-varying microenvironment and time-dependent drug ecacies. The resulting model is a special class of nonautonomous nonlinear system of dierential 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 conjetures