Chapter 2. Linear Growth Models for a Single Species: Averaging Spatial Effects via Eigenvalues

  1. Robert Stephen Cantrell and
  2. Chris Cosner

Published Online: 16 JAN 2004

DOI: 10.1002/0470871296.ch2

Spatial Ecology via Reaction-Diffusion Equations

Spatial Ecology via Reaction-Diffusion Equations

How to Cite

Cantrell, R. S. and Cosner, C. (2004) Linear Growth Models for a Single Species: Averaging Spatial Effects via Eigenvalues, in Spatial Ecology via Reaction-Diffusion Equations, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470871296.ch2

Author Information

  1. Department of Mathematics, University of Miami, U.S.A

Publication History

  1. Published Online: 16 JAN 2004

Book Series:

  1. Wiley Series in Mathematical and Computational Biology

Book Series Editors:

  1. Simon Levin

Series Editor Information

  1. Department of Ecology and Evolutionary Biology, Princeton University, USA

ISBN Information

Print ISBN: 9780471493013

Online ISBN: 9780470871294

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Summary

This chapter contains sections titled:

  • Eigenvalues, Persistence, and Scaling in Simple Models

  • Variational Formulations of Eigenvalues: Accounting for Heterogeneity

  • Effects of Fragmentation and Advection/Taxis in Simple Linear Models

  • Graphical Analysis in One Space Dimension

  • Eigenvalues and Positivity: Advective and Time-periodic Models

  • Connections with Other Topics and Models

  • Appendix