Periodic Solutions of Angiogenesis Models with Time Lags

dc.creatorAmster, Pablo Gustavo
dc.creatorBerezansky, L.
dc.creatorIdels, L.
dc.date.accessioned2017-04-07T20:27:20Z
dc.date.accessioned2018-11-06T12:53:34Z
dc.date.available2017-04-07T20:27:20Z
dc.date.available2018-11-06T12:53:34Z
dc.date.created2017-04-07T20:27:20Z
dc.date.issued2012-01
dc.identifierAmster, Pablo Gustavo; Berezansky, L.; Idels, L.; Periodic Solutions of Angiogenesis Models with Time Lags; Elsevier; Nonlinear Analysis-real World Applications; 13; 1; 1-2012; 299-311
dc.identifier1468-1218
dc.identifierhttp://hdl.handle.net/11336/15023
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1870893
dc.description.abstractTo enrich the dynamics of mathematical models of angiogenesis, all mechanisms involved are time-dependent. We also assume that the tumor cells enter the mechanisms of angiogenic stimulation and inhibition with some delays. The models under study belong to a special class of nonlinear nonautonomous systems with delays. Explicit sufficient and necessary conditions for the existence of the positive periodic solutions were obtained via topological methods. Some open problems are presented for further studies.
dc.languageeng
dc.publisherElsevier
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1468121811001969
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.nonrwa.2011.07.035
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectAngiogenesis
dc.subjectNonlinear nonautonomous delay differential equations
dc.subjectExistence of positive periodic solutions
dc.subjectA priori estimates
dc.titlePeriodic Solutions of Angiogenesis Models with Time Lags
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución