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    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/25761

    Título
    Asymptotic Behaviour for a Class of Non-monotone Delay Differential Systems with Applications
    Autor
    Faria, Teresa
    Obaya, RafaelAutoridad UVA
    Sanz Gil, Ana MaríaAutoridad UVA Orcid
    Año del Documento
    2017
    Editorial
    Springer
    Documento Fuente
    Journal of Dynamics and Differential Equations (2017)
    Résumé
    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
    Ministerio de Economía, Industria y Competitividad /FEDER (MTM2015-66330)
    Fundaçao para a Ciencia e a Tecnologia under project UID/MAT/-04561/2013
    Patrocinador
    info:eu-repo/grantAgreement/EC/H2020/643073
    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
    openAccess
    Aparece en las colecciones
    • IMUVA - Artículos de Revista [107]
    • DEP97 - Artículos de revista [131]
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    FariaObayaSanzRevisedVersion2016.pdf
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    Attribution-NonCommercial-NoDerivatives 4.0 InternationalExcepté là où spécifié autrement, la license de ce document est décrite en tant que Attribution-NonCommercial-NoDerivatives 4.0 International

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