Predator-Prey Interactions, Age Structures and Delay Equations
Populations and Evolution
2014-11-13 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1308.2532,
title = {Predator-Prey Interactions, Age Structures and Delay Equations},
author = {Marcel Mohr and Maria Vittoria Barbarossa and Christina Kuttler},
journal= {arXiv preprint arXiv:1308.2532},
year = {2014}
}