Existence of periodic solutions in the modified Wheldon model of CML

Existence of periodic solutions in the modified Wheldon model of CML

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...

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Bibliographic Details
Main Authors: Pablo Amster, Rocio Balderrama, Lev Idels
Format: Article
Language:English
Published: Texas State University 2013-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlinear nonautonomous delay differential equation
positive periodic solution
Leray-Schauder degree
chronic myelogenous leukemia
model with pharmacokinetics
Online Access:http://ejde.math.txstate.edu/Volumes/2013/272/abstr.html
Description
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.
ISSN:1072-6691

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