Reflections and calculations on a prey-predator-patch problem

Open Access
Authors
Publication date 1989
Journal Acta Applicandae Mathematicae
Volume | Issue number 14
Pages (from-to) 23-35
Number of pages 13
Organisations
  • Faculty of Science (FNWI) - Institute for Biodiversity and Ecosystem Dynamics (IBED)
Abstract This paper is concerned with models for the interaction of plants, herbivores and their predators. We concentrate on situations in which local colonies of herbivores either over-exploit their host plant or are driven to extinction by predators. Starting from a complicated structured model, in which the local prey and predator density within patches is taken into account, we use time scale arguments to derive a three dimensional system of ordinary differential equations. The simplified system is analysed and the existence of multiple stable steady states is demonstrated.
Document type Article
Language English
Published at https://doi.org/10.1007/BF00046671
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