Modelling the impact of an invasive insect via reaction-diffusion

DOI10.1016/j.mbs.2008.08.002zbMath1151.92035OpenAlexW2008645455WikidataQ51870462 ScholiaQ51870462MaRDI QIDQ959103

Marie-Anne Auger-Rozenberg, Alain Roques, Lionel Roques

Publication date: 11 December 2008

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2008.08.002

zbMATH Keywords

Fokker-Planckheterogeneous environmentinvasive speciesFickian diffusioninsect dispersalMegastigmus Schimitscheki

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Ecology (92D40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (5)

Using genetic data to estimate diffusion rates in heterogeneous landscapes ⋮ Modelling the effect of temperature on the range expansion of species by reaction-diffusion equations ⋮ Identifying patterning behavior in a plant infestation of insect pests ⋮ An inverse problem involving two coefficients in a nonlinear reaction-diffusion equation ⋮ A statistical-reaction-diffusion approach for analyzing expansion processes

Cites Work

• Unnamed Item
• Modeling biological invasions into periodically fragmented environments
• Diffusion and ecological problems: Modern perspectives.
• Mathematical biology. Vol. 1: An introduction.
• Mathematical analysis of the optimal habitat configurations for species persistence
• Analysis of the periodically fragmented environment model. I: Species persistence
• Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
• Spatial Ecology via Reaction‐Diffusion Equations
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS

This page was built for publication: Modelling the impact of an invasive insect via reaction-diffusion