Analytic approximation of spatial epidemic models of foot and mouth disease

DOI10.1016/j.tpb.2007.12.010zbMath1209.92053OpenAlexW1989523581WikidataQ56910029 ScholiaQ56910029MaRDI QIDQ615449

Brajendra K. Singh, Neil M. Ferguson, Paul E. Parham

Publication date: 5 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.tpb.2007.12.010

zbMATH Keywords

moment closureepidemic modellingspatial modelspair approximationfoot and mouth disease control

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Special processes (60K99)

Related Items (8)

Spatially-implicit modelling of disease-behaviour interactions in the context of non-pharmaceutical interventions ⋮ Dynamics and control of foot-and-mouth disease in endemic countries: A pair approximation model ⋮ SIS along a continuum (SIS\(_{c})\) epidemiological modelling and control of diseases on directed trade networks ⋮ The evolutionary dynamics of a spatial multi-strain host-pathogen system with cross-immunity ⋮ Equilibrium properties of the spatial SIS model as a point pattern dynamics -- how is infection distributed over space? ⋮ MIXING PATTERNS AMONG EPIDEMIC GROUPS ⋮ Pattern formation of an epidemic model with time delay ⋮ Parameter-dependent transmission dynamics and optimal control of foot and mouth disease in a contaminated environment

Uses Software

• Qhull

Cites Work

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• The effects of disease dispersal and host clustering on the epidemic threshold in plants
• On `analytical models for the patchy spread of plant disease'
• Combining endogenous and exogenous spatial variability in analytical population models
• Pair-edge approximation for heterogeneous lattice population models
• Analytic models for the patchy spread of plant disease
• Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
• Speed of invasion in lattice population models: Pair-edge approximation
• The implications of network structure for epidemic dynamics
• The quickhull algorithm for convex hulls

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