Using network models to approximate spatial point-process models

DOI10.1016/S0025-5564(03)00042-7zbMath1016.92034OpenAlexW2111539254WikidataQ43559575 ScholiaQ43559575MaRDI QIDQ1399014

Alison P. Galvani, Chris T. Bauch

Publication date: 7 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0025-5564(03)00042-7

zbMATH Keywords

epidemic modelnetwork modelspatial modelpair approximationdispersal kernelpoint-process model

Mathematics Subject Classification ID

Epidemiology (92D30) Signal detection and filtering (aspects of stochastic processes) (60G35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) General biology and biomathematics (92B05)

Related Items (4)

A model of spatial epidemic spread when individuals move within overlapping home ranges ⋮ Spatially-implicit modelling of disease-behaviour interactions in the context of non-pharmaceutical interventions ⋮ Pattern formations of an epidemic model with Allee effect and time delay ⋮ The spread of infectious diseases in spatially structured populations: an invasory pair approxi\-ma\-tion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The velocity of spatial population expansion
• Analytic models for the patchy spread of plant disease
• Moment expansions in spatial ecological models and moment closure through Gaussian approximation
• Assessing the variability of stochastic epidemics
• Dependence of epidemic and population velocities on basic parameters
• The importance of being discrete (and spatial)
• Epidemic thresholds and vaccination in a lattice model of disease spread
• Population dispersion and equilibrium infection frequency in a spatial epidemic
• A versatile ODE approximation to a network model for the spread of sexually transmitted diseases
• Measures of concurrency in networks and the spread of infectious disease
• Statistical mechanics of complex networks
• Collective dynamics of ‘small-world’ networks
• Mathematical and Computational Challenges in Population Biology and Ecosystems Science

This page was built for publication: Using network models to approximate spatial point-process models