Predator-Prey Interactions, Age Structures and Delay Equations

Autor: Mohr, Marcel, Barbarossa, Maria Vittoria, Kuttler, Christina
Rok vydání: 2013
Předmět:
Zdroj: Mathematical Modelling of Natural Phenomena 9(1): pp 92-107 (2014)
Druh dokumentu: Working Paper
DOI: 10.1051/mmnp/20149107
Popis: 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.
Databáze: arXiv