Existence of periodic solutions in the modified wheldon model of CML
Electronic journal of differential equations, Tome 2013 (2013)
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.
Classification :
34K20, 92D25, 34K45, 34K12, 34K25
Keywords: nonlinear nonautonomous delay differential equation, positive periodic solution, Leray-Schauder degree, chronic myelogenous leukemia, model with pharmacokinetics
Keywords: nonlinear nonautonomous delay differential equation, positive periodic solution, Leray-Schauder degree, chronic myelogenous leukemia, model with pharmacokinetics
@article{EJDE_2013__2013__a45,
author = {Amster, Pablo and Balderrama, Rocio and Idels, Lev},
title = {Existence of periodic solutions in the modified wheldon model of {CML}},
journal = {Electronic journal of differential equations},
year = {2013},
volume = {2013},
zbl = {1288.34077},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a45/}
}
TY - JOUR AU - Amster, Pablo AU - Balderrama, Rocio AU - Idels, Lev TI - Existence of periodic solutions in the modified wheldon model of CML JO - Electronic journal of differential equations PY - 2013 VL - 2013 UR - http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a45/ LA - en ID - EJDE_2013__2013__a45 ER -
Amster, Pablo; Balderrama, Rocio; Idels, Lev. Existence of periodic solutions in the modified wheldon model of CML. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a45/