Robust permanence for interacting structured populations

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Robust permanence for interacting structured populations

The dynamics of interacting structured populations can be modeled by dxi dt = Ai(x)xi where xi ∈ R ni , x = (x1, . . . , xk), and Ai(x) are matrices with non-negative off-diagonal entries. These models are permanent if there exists a positive global attractor and are robustly permanent if they remain permanent following perturbations of Ai(x). Necessary and sufficient conditions for robust perm...

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2010

ISSN: 0022-0396

DOI: 10.1016/j.jde.2009.11.010