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A permanence theorem for local dynamical systems

TitleA permanence theorem for local dynamical systems
Publication TypeJournal Article
Year of Publication2015
AuthorsFonda, A, Gidoni, P
JournalNonlinear Analysis: Theory, Methods & Applications
Volume121
Pagination73 - 81
ISSN0362-546X
KeywordsLotka–Volterra; permanence; Predator–prey; Uniform persistence
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.

URLhttp://www.sciencedirect.com/science/article/pii/S0362546X14003332
DOI10.1016/j.na.2014.10.011

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