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arXiv · 1709.07692

Is uniform persisitence a robust property in almost periodic models? A well-behaved family: almost periodic Nicholson systems

Rafael Obaya·Ana M. Sanz
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Abstract

Using techniques of non-autonomous dynamical systems, we completely characterize the persistence properties of an almost periodic Nicholson system in terms of some numerically computable exponents. Although similar results hold for a class of cooperative and sublinear models, in the general non-autonomous setting one has to consider persistence as a collective property of the family of systems over the hull: the reason is that uniform persistence is not a robust property in models given by almost periodic differential equations.

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Rafael Obaya, Ana M. Sanz. 2017-09-22. Is uniform persisitence a robust property in almost periodic models? A well-behaved family: almost periodic Nicholson systems. https://doi.org/10.1088/1361-6544/aa92e7

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