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arXiv · 1308.2532

Predator-Prey Interactions, Age Structures and Delay Equations

Marcel Mohr·Maria Vittoria Barbarossa·Christina Kuttler
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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.

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Marcel Mohr, Maria Vittoria Barbarossa, Christina Kuttler. 2013-08-12. Predator-Prey Interactions, Age Structures and Delay Equations. https://doi.org/10.1051/mmnp%2F20149107

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