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Título: Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson systems
Autor: Obaya, Rafael
Sanz, Ana María
Año del Documento: 2016
Editorial: Elsevier
Descripción: Producción Científica
Documento Fuente: Journal of Differential Equations 261 (2016), 4135-4163.
Resumen: We determine sufficient conditions for uniform and strict persistence in the case of skew-product semiflows generated by solutions of non-autonomous families of cooperative systems of ODEs or delay FDEs in terms of the principal spectrums of some associated linear skew-product semiflows which admit a continuous separation. Our conditions are also necessary in the linear case. We apply our results to a noncooperative almost periodic Nicholson system with a patch structure, whose persistence turns out to be equivalent to the persistence of the linearized system along the null solution.
ISSN: 0022-0396
Revisión por Pares: SI
DOI: 10.1016/j.jde.2016.06.019
Patrocinador: info:eu-repo/grantAgreement/EC/H2020/643073
Patrocinador: MINECO/FEDER MTM2015-66330
Version del Editor: http://www.sciencedirect.com/science/article/pii/S0022039616301553
Idioma: eng
URI: http://uvadoc.uva.es/handle/10324/25688
Derechos: info:eu-repo/semantics/openAccess
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