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dc.contributor.authorCenci, Simone
dc.contributor.authorSaavedra Sanchez, Serguei
dc.date.accessioned2018-08-20T20:00:55Z
dc.date.available2018-08-20T20:00:55Z
dc.date.issued2018-01
dc.date.submitted2017-10
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.urihttp://hdl.handle.net/1721.1/117432
dc.description.abstractIn population dynamics, the concept of structural stability has been used to quantify the tolerance of a system to environmental perturbations. Yet, measuring the structural stability of nonlinear dynamical systems remains a challenging task. Focusing on the classic Lotka-Volterra dynamics, because of the linearity of the functional response, it has been possible to measure the conditions compatible with a structurally stable system. However, the functional response of biological communities is not always well approximated by deterministic linear functions. Thus, it is unclear the extent to which this linear approach can be generalized to other population dynamics models. Here, we show that the same approach used to investigate the classic Lotka-Volterra dynamics, which is called the structural approach, can be applied to a much larger class of nonlinear models. This class covers a large number of nonlinear functional responses that have been intensively investigated both theoretically and experimentally. We also investigate the applicability of the structural approach to stochastic dynamical systems and we provide a measure of structural stability for finite populations. Overall, we show that the structural approach can provide reliable and tractable information about the qualitative behavior of many nonlinear dynamical systems.en_US
dc.publisherAmerican Physical Society (APS)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1103/PHYSREVE.97.012401en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceAPSen_US
dc.titleStructural stability of nonlinear population dynamicsen_US
dc.typeArticleen_US
dc.identifier.citationCenci, Simone, and Serguei Saavedra. “Structural Stability of Nonlinear Population Dynamics.” Physical Review E 97, 1 (January 2018): 012401 © 2018 American Physical Societyen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Civil and Environmental Engineeringen_US
dc.contributor.mitauthorCenci, Simone
dc.contributor.mitauthorSaavedra Sanchez, Serguei
dc.relation.journalPhysical Review Een_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2018-08-20T17:53:09Z
dspace.orderedauthorsCenci, Simone; Saavedra, Sergueien_US
dspace.embargo.termsNen_US
mit.licensePUBLISHER_POLICYen_US


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