Mean occupancy time: linking mechanistic movement models, population dynamics and landscape ecology to population persistence

DOI10.1007/s00285-013-0642-1zbMath1283.92070OpenAlexW2069733190WikidataQ51167297 ScholiaQ51167297MaRDI QIDQ2441548

Christina A. Cobbold, Frithjof Lutscher

Publication date: 25 March 2014

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-013-0642-1

zbMATH Keywords

model reductionreaction-diffusion equationsspatial ecologypatch modelpatchy landscape

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (8)

Individual behavior at habitat edges may help populations persist in moving habitats ⋮ Critical patch-size for two-sex populations ⋮ Evolution of dispersal in open advective environments ⋮ Evolutionarily stable movement strategies in reaction-diffusion models with edge behavior ⋮ The effect of movement behavior on population density in patchy landscapes ⋮ Heterogeneity in behaviour and movement can influence the stability of predator-prey periodic travelling waves ⋮ Asymptotic analysis of first passage time problems inspired by ecology ⋮ Analysis of spread and persistence for stream insects with winged adult stages

Cites Work

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• Spatial Ecology via Reaction‐Diffusion Equations
• Elements of Mathematical Ecology
• Biased movement at a boundary and conditional occupancy times for diffusion processes
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

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