A permanence theorem for local dynamical systems

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Date
2013-06-11
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Abstract
We provide a necessary and sufficient condition for permanence related to a local dynamical system on a suitable topological space. We then present an illustrative application to a Lotka–Volterra predator–prey model with intraspecific competition.
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16 pages recorded in PDF format ; The article will be published in "Nonlinear analysis" v. 121, year : 2015, pages: 73-81
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Version of the preprint of the 11.06.2013 ; DOI :10.1016/j.na.2014.10.011
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