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How predation can slow, stop or reverse a prey invasion

  • M. R. Owen
  • M. A. Lewis
Article

Abstract

Observations on Mount St Helens indicate that the spread of recolonizing lupin plants has been slowed due to the presence of insect herbivores and it is possible that the spread of lupins could be reversed in the future by intense insect herbivory [Fagan, W. F. and J. Bishop (2000). Trophic interactions during primary sucession: herbivores slow a plant reinvasion at Mount St. Helens. Amer. Nat. 155, 238–251]. In this paper we investigate mechanisms by which herbivory can contain the spatial spread of recolonizing plants. Our approach is to analyse a series of predator-prey reaction-diffusion models and spatially coupled ordinary differential equation models to derive conditions under which predation pressure can slow, stall or reverse a spatial invasion of prey. We focus on models where prey disperse more slowly than predators. We comment on the types of functional response which give such solutions, and the circumstances under which the models are appropriate.

Keywords

Transition Layer Prey Density Logistic Growth Predator Density Prey Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Society for Mathematical Biology 2001

Authors and Affiliations

  • M. R. Owen
    • 1
  • M. A. Lewis
    • 2
  1. 1.Nonlinear and Complex Systems Group, Department of Mathematical SciencesLoughborough UniversityLoughboroughUK
  2. 2.Department of MathematicsUniversity of UtahSalt Lake CityUSA

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