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dc.contributor.author
Amster, Pablo Gustavo
dc.contributor.author
Balderrama, Rocio Celeste
dc.contributor.author
Idels, Lev
dc.date.available
2015-11-12T16:07:32Z
dc.date.issued
2013-10
dc.identifier.citation
Amster, Pablo Gustavo; Balderrama, Rocio Celeste; Idels, Lev; Existence of periodic solutions in the modified Wheldon model of CML; Texas State University. Department of Mathematics; Electronic Journal of Differential Equations; 2013; 272; 10-2013; 1-14
dc.identifier.issn
1072-6691
dc.identifier.uri
http://hdl.handle.net/11336/2749
dc.description.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. We introduce our main insight and formulate some relevant open problems and conjectures.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Texas State University. Department of Mathematics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Nonlinear Nonautonomous Delay Diferential Equation
dc.subject
Positive Periodic Solution
dc.subject
Leray-Schauder Degree
dc.subject
Chronic Myelogenous Leukemia
dc.subject
Model with Pharmacokinetics
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Existence of periodic solutions in the modified Wheldon model of CML
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-03-30 10:35:44.97925-03
dc.journal.volume
2013
dc.journal.number
272
dc.journal.pagination
1-14
dc.journal.pais
Estados Unidos
dc.journal.ciudad
San Marcos
dc.description.fil
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.description.fil
Fil: Balderrama, Rocio Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.description.fil
Fil: Idels, Lev. Vancouver Island University. Departament of Mathematics; Canadá
dc.journal.title
Electronic Journal of Differential Equations
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://ejde.math.txstate.edu/
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