Predator-prey interactions, age structures and delay equations

L. Pujo-Menjouet, M. Mohr, M. V. Barbarossa, C. Kuttler

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

A general framework for age-structured predator-prey systems is introduced. Individuals are distinguished into two classes, juveniles and adults, and several possible interactions are considered. The initial system of partial differential equations is reduced to a system of (neutral) delay differential equations with one or two delays. Thanks to this approach, physically correct models for predator-prey with delay are provided. Previous models are considered and analysed in view of the above results. A Rosenzweig-MacArthur model with delay is presented as an example.

Original languageEnglish
Pages (from-to)92-107
Number of pages16
JournalMathematical Modelling of Natural Phenomena
Volume9
Issue number1
DOIs
StatePublished - 2014

Keywords

  • Age structure
  • Delay differential equations
  • Neutral equations
  • Population dynamics
  • Predator-prey
  • Rosenzweig-MacArthur model

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