Artículo

Existence of periodic solutions in the modified Wheldon model of CML

Amster, Pablo GustavoIcon ; Balderrama, Rocio CelesteIcon ; Idels, Lev
Fecha de publicación: 10/2013
Editorial: Texas State University. Department of Mathematics
Revista: Electronic Journal of Differential Equations
ISSN: 1072-6691
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: Nonlinear Nonautonomous Delay Diferential Equation , Positive Periodic Solution , Leray-Schauder Degree , Chronic Myelogenous Leukemia , Model with Pharmacokinetics
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/2749
URL: http://ejde.math.txstate.edu/
Colecciones
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos(OCA CIUDAD UNIVERSITARIA)
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Citación
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
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