Reflections and calculations on a prey-predator-patch problem
| Authors |
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|---|---|
| Publication date | 1989 |
| Journal | Acta Applicandae Mathematicae |
| Volume | Issue number | 14 |
| Pages (from-to) | 23-35 |
| Number of pages | 13 |
| Organisations |
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| 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
(Final published version)
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