The characteristics of epidemics and invasion with thresholds

DOI10.1006/tpbi.1999.1432zbMath0963.92034OpenAlexW2093271971WikidataQ73294861 ScholiaQ73294861MaRDI QIDQ1581345

A. Roy Veitch, Isla Cruickshank, William S. C. Gurney

Publication date: 4 July 2001

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/tpbi.1999.1432

zbMATH Keywords

Fisher equationAllee effectRosenzweig-McArthur model

Mathematics Subject Classification ID

Epidemiology (92D30) Reaction-diffusion equations (35K57) Numerical methods for partial differential equations, boundary value problems (65N99)

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Cites Work

• Unnamed Item
• Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
• Ecological stability and social hierarchy
• The velocity of spatial population expansion
• Dependence of epidemic and population velocities on basic parameters
• Travelling fronts in nonlinear diffusion equations
• Travelling wave solutions of diffusive Lotka-Volterra equations
• Allee dynamics and the spread of invading organisms
• Traveling Wave Solutions of Diffusive Lotka-Volterra Equations: A Heteroclinic Connection in R 4
• Ecological chaos in the wake of invasion.
• On the behaviour of a standard Markov transition function near t=0
• Possible velocities for a simple epidemic
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS