Diffusion models for population dynamics incorporating individual behavior at boundaries: Applications to refuge design

Research output: Contribution to journalArticlepeer-review

71 Scopus citations

Abstract

We construct models for dispersal of a population which incorporate the response of individuals to interfaces between habitat types. The models are based on random walks where there may be a bias in the direction an individual moves when it encounters an interface. This sort of dispersal process is called skew Brownian motion. Our models take the form of diffusion equations with matching conditions across the interface between regions for population densities and fluxes. We combine the dispersal models with linear population growth models which assume that the population growth rate differs between regions of different habitat types. We use those models to study issues of refuge design. We specifically consider how the effectiveness of buffer zones depends on their size, quality, and the population's response to the interface between the buffer zone and the refuge.

Original languageEnglish (US)
Pages (from-to)189-207
Number of pages19
JournalTheoretical Population Biology
Volume55
Issue number2
DOIs
StatePublished - Apr 1999

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics

Fingerprint

Dive into the research topics of 'Diffusion models for population dynamics incorporating individual behavior at boundaries: Applications to refuge design'. Together they form a unique fingerprint.

Cite this