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 | |
| 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