Nonlocal dispersal and averaging in heterogeneous landscapes

DOI10.1080/00036811003735816zbMath1204.35039OpenAlexW2055791322WikidataQ60332855 ScholiaQ60332855MaRDI QIDQ3577859

Frithjof Lutscher

Publication date: 26 July 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811003735816

zbMATH Keywords

homogenizationintegrodifferential equationsecologyinvasion speedspersistence conditions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Ecology (92D40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Eigenvalue problems for integral equations (45C05) Integro-partial differential equations (35R09)

Related Items (10)

Modeling the presence probability of invasive plant species with nonlocal dispersal ⋮ Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models ⋮ Study of a Mixed Dispersal Population Dynamics Model ⋮ Effects of different dispersal patterns on the presence-absence of multiple species ⋮ Wave propagation in a nonlocal dispersal SIR epidemic model with nonlinear incidence and nonlocal distributed delays ⋮ Homogenization techniques for population dynamics in strongly heterogeneous landscapes ⋮ Allee effects and population spread in patchy landscapes ⋮ Traveling waves in spatial SIRS models ⋮ Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal ⋮ Spatial Invasion of a Birth Pulse Population with Nonlocal Dispersal

Cites Work

• Effects of heterogeneity on spread and persistence in rivers
• Modeling biological invasions into periodically fragmented environments
• Biological growth and spread modeled by systems of recursions. I: Mathematical theory
• A continuum model for coupled cells
• Traveling periodic waves in heterogeneous environments
• The evolution of slow dispersal rates: a reaction diffusion model
• Dependence of epidemic and population velocities on basic parameters
• Spreading disease: Integro-differential equations old and new.
• On spreading speeds and traveling waves for growth and migration models in a periodic habitat
• The evolution of dispersal
• Analysis of the periodically fragmented environment model. I: Species persistence
• Long-Time Behavior of a Class of Biological Models
• Elements of Mathematical Ecology
• The Effect of Dispersal Patterns on Stream Populations
• The Effect of Dispersal Patterns on Stream Populations

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