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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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

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spelling	doaj-bb541d69c653496f91d7e707c1658a042020-11-25T02:39:58ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-12-012013272,114Existence of periodic solutions in the modified Wheldon model of CMLPablo Amster0Rocio Balderrama1Lev Idels2 Univ. de Buenos Aires, Argentina Univ. de Buenos Aires, Argentina Island Univ., Nanaimo, BC, Canada 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.http://ejde.math.txstate.edu/Volumes/2013/272/abstr.htmlNonlinear nonautonomous delay differential equationpositive periodic solutionLeray-Schauder degreechronic myelogenous leukemiamodel with pharmacokinetics
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pablo Amster Rocio Balderrama Lev Idels
spellingShingle	Pablo Amster Rocio Balderrama Lev Idels Existence of periodic solutions in the modified Wheldon model of CML Electronic Journal of Differential Equations Nonlinear nonautonomous delay differential equation positive periodic solution Leray-Schauder degree chronic myelogenous leukemia model with pharmacokinetics
author_facet	Pablo Amster Rocio Balderrama Lev Idels
author_sort	Pablo Amster
title	Existence of periodic solutions in the modified Wheldon model of CML
title_short	Existence of periodic solutions in the modified Wheldon model of CML
title_full	Existence of periodic solutions in the modified Wheldon model of CML
title_fullStr	Existence of periodic solutions in the modified Wheldon model of CML
title_full_unstemmed	Existence of periodic solutions in the modified Wheldon model of CML
title_sort	existence of periodic solutions in the modified wheldon model of cml
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2013-12-01
description	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.
topic	Nonlinear nonautonomous delay differential equation positive periodic solution Leray-Schauder degree chronic myelogenous leukemia model with pharmacokinetics
url	http://ejde.math.txstate.edu/Volumes/2013/272/abstr.html
work_keys_str_mv	AT pabloamster existenceofperiodicsolutionsinthemodifiedwheldonmodelofcml AT rociobalderrama existenceofperiodicsolutionsinthemodifiedwheldonmodelofcml AT levidels existenceofperiodicsolutionsinthemodifiedwheldonmodelofcml
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Existence of periodic solutions in the modified Wheldon model of CML

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