Interactions between different predator–prey states: a method for the derivation of the functional and numerical response

In this paper we introduce a formal method for the derivation of a predator’s functional response from a system of fast state transitions of the prey or predator on a time scale during which the total prey and predator densities remain constant. Such derivation permits an explicit interpretation of...

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Autores principales: Berardo, Cecilia, Geritz, Stefan, Gyllenberg, Mats, Raoul, Gaël
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7250814/
https://www.ncbi.nlm.nih.gov/pubmed/32419034
http://dx.doi.org/10.1007/s00285-020-01500-2
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author Berardo, Cecilia
Geritz, Stefan
Gyllenberg, Mats
Raoul, Gaël
author_facet Berardo, Cecilia
Geritz, Stefan
Gyllenberg, Mats
Raoul, Gaël
author_sort Berardo, Cecilia
collection PubMed
description In this paper we introduce a formal method for the derivation of a predator’s functional response from a system of fast state transitions of the prey or predator on a time scale during which the total prey and predator densities remain constant. Such derivation permits an explicit interpretation of the structure and parameters of the functional response in terms of individual behaviour. The same method is also used here to derive the corresponding numerical response of the predator as well as of the prey.
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spelling pubmed-72508142020-06-04 Interactions between different predator–prey states: a method for the derivation of the functional and numerical response Berardo, Cecilia Geritz, Stefan Gyllenberg, Mats Raoul, Gaël J Math Biol Article In this paper we introduce a formal method for the derivation of a predator’s functional response from a system of fast state transitions of the prey or predator on a time scale during which the total prey and predator densities remain constant. Such derivation permits an explicit interpretation of the structure and parameters of the functional response in terms of individual behaviour. The same method is also used here to derive the corresponding numerical response of the predator as well as of the prey. Springer Berlin Heidelberg 2020-05-17 2020 /pmc/articles/PMC7250814/ /pubmed/32419034 http://dx.doi.org/10.1007/s00285-020-01500-2 Text en © The Author(s) 2020 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/.
spellingShingle Article
Berardo, Cecilia
Geritz, Stefan
Gyllenberg, Mats
Raoul, Gaël
Interactions between different predator–prey states: a method for the derivation of the functional and numerical response
title Interactions between different predator–prey states: a method for the derivation of the functional and numerical response
title_full Interactions between different predator–prey states: a method for the derivation of the functional and numerical response
title_fullStr Interactions between different predator–prey states: a method for the derivation of the functional and numerical response
title_full_unstemmed Interactions between different predator–prey states: a method for the derivation of the functional and numerical response
title_short Interactions between different predator–prey states: a method for the derivation of the functional and numerical response
title_sort interactions between different predator–prey states: a method for the derivation of the functional and numerical response
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7250814/
https://www.ncbi.nlm.nih.gov/pubmed/32419034
http://dx.doi.org/10.1007/s00285-020-01500-2
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