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Título: Asymptotic Behaviour for a Class of Non-monotone Delay Differential Systems with Applications
Autor: Faria, Teresa
Obaya, Rafael
Sanz, Ana María
Año del Documento: 2017
Editorial: Springer
Documento Fuente: Journal of Dynamics and Differential Equations (2017)
Resumen: The paper concerns a class of n-dimensional non-autonomous delay differential equations obtained by adding a non-monotone delayed perturbation to a linear homogeneous cooperative system of ordinary differential equations. This family covers a wide set of models used in structured population dynamics. By exploiting the stability and the monotone character of the linear ODE, we establish sufficient conditions for both the extinction of all the populations and the permanence of the system. In the case of DDEs with autonomous coefficients (but possible time-varying delays), sharp results are obtained, even in the case of a reducible community matrix. As a sub-product, our results improve some criteria for autonomous systems published in recent literature. As an important illustration, the extinction, persistence and permanence of a non-autonomous Nicholson system with patch structure and multiple time-dependent delays are analysed.
ISSN: 1040-7294
Revisión por Pares: SI
DOI: 10.1007/s10884-017-9572-8
Patrocinador: info:eu-repo/grantAgreement/EC/H2020/643073
Patrocinador: Ministerio de Economía, Industria y Competitividad /FEDER (MTM2015-66330)
Fundaçao para a Ciencia e a Tecnologia under project UID/MAT/-04561/2013
Version del Editor: https://link.springer.com/article/10.1007/s10884-017-9572-8
Idioma: eng
URI: http://uvadoc.uva.es/handle/10324/25761
Derechos: info:eu-repo/semantics/openAccess
Aparece en las colecciones:Documentos OpenAire(Open Access Infrastructure for Research in Europe)
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