The effects of spatial heterogeneity in population dynamics

Research output: Contribution to journalArticle

141 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)315-338
Number of pages24
JournalJournal of Mathematical Biology
Volume29
Issue number4
DOIs
StatePublished - Feb 1991

Keywords

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

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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