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Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses

During recent years, the study of long transients has been expanded in ecological theory to account for shifts in long-term behavior of ecological systems. These long transients may lead to regime shifts between alternative states that resemble the dynamics of alternative stable states for a prolong...

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Autores principales: Arroyo-Esquivel, Jorge, Hastings, Alan, Baskett, Marissa L.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9376152/
https://www.ncbi.nlm.nih.gov/pubmed/35964274
http://dx.doi.org/10.1007/s11538-022-01059-7
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author Arroyo-Esquivel, Jorge
Hastings, Alan
Baskett, Marissa L.
author_facet Arroyo-Esquivel, Jorge
Hastings, Alan
Baskett, Marissa L.
author_sort Arroyo-Esquivel, Jorge
collection PubMed
description During recent years, the study of long transients has been expanded in ecological theory to account for shifts in long-term behavior of ecological systems. These long transients may lead to regime shifts between alternative states that resemble the dynamics of alternative stable states for a prolonged period of time. One dynamic that potentially leads to long transients is the group defense of a resource in a consumer–resource interaction. Furthermore, time lags in the population caused by discrete reproductive pulses have the potential to produce long transients, either independently or in conjunction to the transients caused by the group defense. In this work, we analyze the potential for long transients in a model for a consumer–resource system in which the resource exhibits group defense and reproduces in discrete reproductive pulses. This system exhibits crawl-by transients near the extinction and carrying capacity states of resource, and a transcritical bifurcation, under which a ghost limit cycle appears. We estimate the transient time of our system from these transients using perturbation theory. This work advances an understanding of how systems shift between alternate states and their duration of staying in a given regime and what ecological dynamics may lead to long transients.
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spelling pubmed-93761522022-08-16 Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses Arroyo-Esquivel, Jorge Hastings, Alan Baskett, Marissa L. Bull Math Biol Original Article During recent years, the study of long transients has been expanded in ecological theory to account for shifts in long-term behavior of ecological systems. These long transients may lead to regime shifts between alternative states that resemble the dynamics of alternative stable states for a prolonged period of time. One dynamic that potentially leads to long transients is the group defense of a resource in a consumer–resource interaction. Furthermore, time lags in the population caused by discrete reproductive pulses have the potential to produce long transients, either independently or in conjunction to the transients caused by the group defense. In this work, we analyze the potential for long transients in a model for a consumer–resource system in which the resource exhibits group defense and reproduces in discrete reproductive pulses. This system exhibits crawl-by transients near the extinction and carrying capacity states of resource, and a transcritical bifurcation, under which a ghost limit cycle appears. We estimate the transient time of our system from these transients using perturbation theory. This work advances an understanding of how systems shift between alternate states and their duration of staying in a given regime and what ecological dynamics may lead to long transients. Springer US 2022-08-14 2022 /pmc/articles/PMC9376152/ /pubmed/35964274 http://dx.doi.org/10.1007/s11538-022-01059-7 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Article
Arroyo-Esquivel, Jorge
Hastings, Alan
Baskett, Marissa L.
Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses
title Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses
title_full Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses
title_fullStr Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses
title_full_unstemmed Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses
title_short Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses
title_sort characterizing long transients in consumer–resource systems with group defense and discrete reproductive pulses
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9376152/
https://www.ncbi.nlm.nih.gov/pubmed/35964274
http://dx.doi.org/10.1007/s11538-022-01059-7
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