The effects of spatial heterogeneity in population dynamics

R. S. Cantrell; C. Cosner

doi:10.1007/BF00167155

The effects of spatial heterogeneity in population dynamics

R. S. Cantrell, C. Cosner

Mathematics

Research output: Contribution to journal › Article › peer-review

142 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 language	English (US)
Pages (from-to)	315-338
Number of pages	24
Journal	Journal of Mathematical Biology
Volume	29
Issue number	4
DOIs	https://doi.org/10.1007/BF00167155
State	Published - 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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10.1007/BF00167155

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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.",

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KW - Population dynamics

KW - Reaction-diffusion equations

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