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    Stability and positivity of equilibria for subhomogeneous cooperative systems


    Bokharaie, Vahid Samadi and Mason, Oliver and Wirth, Fabian (2011) Stability and positivity of equilibria for subhomogeneous cooperative systems. Nonlinear Analysis: Theory, Methods and Applications, 74 (17). pp. 6416-6426. ISSN 0362-546X

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    Abstract

    Building on recent work on homogeneous cooperative systems, we extend results concerning stability of such systems to subhomogeneous systems. We also consider subhomogeneous cooperative systems with constant input, and relate the global asymptotic stability of the unforced system to the existence and stability of positive equilibria for the system with input.

    Item Type: Article
    Keywords: Nonlinear systems; Cooperative systems; Positive systems; Subhomogeneity; Positivity of equilibria;
    Academic Unit: Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 6060
    Identification Number: https://doi.org/10.1016/j.na.2011.06.023
    Depositing User: Oliver Mason
    Date Deposited: 22 Apr 2015 13:58
    Journal or Publication Title: Nonlinear Analysis: Theory, Methods and Applications
    Publisher: Elsevier
    Refereed: Yes
    URI:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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