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Integrodifference models for persistence in temporally varying river environments

To fully understand population persistence in river ecosystems, it is necessary to consider the effect of the water flow, which varies tremendously with seasonal fluctuations of water runoff and snow melt. In this paper, we study integrodifference models for growth and dispersal in the presence of a...

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Autores principales: Jacobsen, Jon, Jin, Yu, Lewis, Mark A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4289536/
https://www.ncbi.nlm.nih.gov/pubmed/24627231
http://dx.doi.org/10.1007/s00285-014-0774-y
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author Jacobsen, Jon
Jin, Yu
Lewis, Mark A.
author_facet Jacobsen, Jon
Jin, Yu
Lewis, Mark A.
author_sort Jacobsen, Jon
collection PubMed
description To fully understand population persistence in river ecosystems, it is necessary to consider the effect of the water flow, which varies tremendously with seasonal fluctuations of water runoff and snow melt. In this paper, we study integrodifference models for growth and dispersal in the presence of advective flow with both periodic (alternating) and random kernel parameters. For the alternating kernel model, we obtain the principal eigenvalue of the linearization operator to determine population persistence and derive a boundary value problem to calculate it. For the random model, we establish two persistence metrics: a generalized spectral radius and the asymptotic growth rate, which are mathematically equivalent but can be understood differently, to determine population persistence or extinction. The theoretical framework and methods for calculations are provided, and the framework is applied to calculating persistence in highly variable river environments.
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spelling pubmed-42895362015-01-15 Integrodifference models for persistence in temporally varying river environments Jacobsen, Jon Jin, Yu Lewis, Mark A. J Math Biol Article To fully understand population persistence in river ecosystems, it is necessary to consider the effect of the water flow, which varies tremendously with seasonal fluctuations of water runoff and snow melt. In this paper, we study integrodifference models for growth and dispersal in the presence of advective flow with both periodic (alternating) and random kernel parameters. For the alternating kernel model, we obtain the principal eigenvalue of the linearization operator to determine population persistence and derive a boundary value problem to calculate it. For the random model, we establish two persistence metrics: a generalized spectral radius and the asymptotic growth rate, which are mathematically equivalent but can be understood differently, to determine population persistence or extinction. The theoretical framework and methods for calculations are provided, and the framework is applied to calculating persistence in highly variable river environments. Springer Berlin Heidelberg 2014-03-14 2015 /pmc/articles/PMC4289536/ /pubmed/24627231 http://dx.doi.org/10.1007/s00285-014-0774-y Text en © The Author(s) 2014 https://creativecommons.org/licenses/by/4.0/ Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
spellingShingle Article
Jacobsen, Jon
Jin, Yu
Lewis, Mark A.
Integrodifference models for persistence in temporally varying river environments
title Integrodifference models for persistence in temporally varying river environments
title_full Integrodifference models for persistence in temporally varying river environments
title_fullStr Integrodifference models for persistence in temporally varying river environments
title_full_unstemmed Integrodifference models for persistence in temporally varying river environments
title_short Integrodifference models for persistence in temporally varying river environments
title_sort integrodifference models for persistence in temporally varying river environments
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4289536/
https://www.ncbi.nlm.nih.gov/pubmed/24627231
http://dx.doi.org/10.1007/s00285-014-0774-y
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