Pablo Amster, Rocio Balderrama, Lev Idels
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.
Submitted October 11, 2013. Published December 17, 2013.
Math Subject Classifications: 34K20, 92D25, 34K45, 34K12, 34K25.
Key Words: Nonlinear nonautonomous delay differential equation;
positive periodic solution; Leray-Schauder degree;
chronic myelogenous leukemia; model with pharmacokinetics.
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Pablo Amster Departamento de Matemática FCEyN - Universidad de Buenos Aires & IMAS-CONICET Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina email: pamster@dm.uba.ar |
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Rocío Balderrama Departamento de Matemática FCEyN - Universidad de Buenos Aires & IMAS-CONICET Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina email: rbalde@dm.uba.ar |
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Lev Idels Department of Mathematics Vancouver Island University (VIU) 900 Fith St. Nanaimo BC Canada email: lev.idels@viu.ca |
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