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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.
Affiliation
  • Berardo C; Department of Mathematics and Statistics, University of Helsinki, 00014, Helsinki, Finland. cecilia.berardo@helsinki.fi.
  • Geritz S; Department of Mathematics and Statistics, University of Helsinki, 00014, Helsinki, Finland.
  • Gyllenberg M; Department of Mathematics and Statistics, University of Helsinki, 00014, Helsinki, Finland.
  • Raoul G; Centre de Mathématiques Appliquées, École Polytechnique, 91128, Palaiseau Cedex, France.
J Math Biol ; 80(7): 2431-2468, 2020 06.
Article in En | MEDLINE | ID: mdl-32419034
ABSTRACT
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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Full text: 1 Collection: 01-internacional Database: MEDLINE Main subject: Predatory Behavior / Food Chain / Models, Biological Limits: Animals Language: En Journal: J Math Biol Year: 2020 Document type: Article Affiliation country: Finland Publication country: ALEMANHA / ALEMANIA / DE / DEUSTCHLAND / GERMANY

Full text: 1 Collection: 01-internacional Database: MEDLINE Main subject: Predatory Behavior / Food Chain / Models, Biological Limits: Animals Language: En Journal: J Math Biol Year: 2020 Document type: Article Affiliation country: Finland Publication country: ALEMANHA / ALEMANIA / DE / DEUSTCHLAND / GERMANY