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dc.contributor.author
Amster, Pablo Gustavo  
dc.contributor.author
Berezansky, L.  
dc.contributor.author
Idels, L.  
dc.date.available
2017-04-07T20:27:20Z  
dc.date.issued
2012-01  
dc.identifier.citation
Amster, 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.identifier.issn
1468-1218  
dc.identifier.uri
http://hdl.handle.net/11336/15023  
dc.description.abstract
To 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.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Angiogenesis  
dc.subject
Nonlinear Nonautonomous Delay Differential Equations  
dc.subject
Existence of Positive Periodic Solutions  
dc.subject
A Priori Estimates  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Periodic Solutions of Angiogenesis Models with Time Lags  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-04-06T16:51:45Z  
dc.journal.volume
13  
dc.journal.number
1  
dc.journal.pagination
299-311  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Berezansky, L.. Ben Gurion University Of The Negev; Israel  
dc.description.fil
Fil: Idels, L.. Vancouver Island University; Canadá  
dc.journal.title
Nonlinear Analysis-real World Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1468121811001969  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.nonrwa.2011.07.035  

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