Amster, Pablo; Balderrama, Rocio; Idels, Lev Existence of periodic solutions in the modified wheldon model of CML. (English) Zbl 1288.34077 Electron. J. Differ. Equ. 2013, Paper No. 272, 14 p. (2013). Summary: 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. MSC: 34K60 Qualitative investigation and simulation of models involving functional-differential equations 34K20 Stability theory of functional-differential equations 34K21 Stationary solutions of functional-differential equations 34K13 Periodic solutions to functional-differential equations 92C50 Medical applications (general) 92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) Keywords:nonlinear nonautonomous delay differential equation; positive periodic solution; Leray-Schauder degree; chronic myelogenous leukemia; model with pharmacokinetics PDFBibTeX XMLCite \textit{P. Amster} et al., Electron. J. Differ. Equ. 2013, Paper No. 272, 14 p. (2013; Zbl 1288.34077) Full Text: EMIS