Journal of Mathematical Biology

, Volume 29, Issue 4, pp 315–338 | Cite as

The effects of spatial heterogeneity in population dynamics

  • R. S. Cantrell
  • C. Cosner


The dynamics of a population inhabiting a heterogeneous environment are modelled by a diffusive logistic equation with spatially varying growth rate. The overall suitability of an environment is characterized by the principal eigenvalue of the corresponding linearized equation. The dependence of the eigenvalue on the spatial arrangement of regions of favorable and unfavorable habitat and on boundary conditions is analyzed in a number of cases.

Key words

Population dynamics Spatial heterogeneity Reaction-diffusion equations Eigenvalue problems Environmental quality 


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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • R. S. Cantrell
    • 1
  • C. Cosner
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of MiamiCoral GablesUSA

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