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Epidemic models on social networks—With inference

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  • Tom Britton

Abstract

This article considers stochastic models for the spread of an infection in a structured community, where this structured community is itself described by a random network model. Some common network models and transmission models are defined and large population properties of them are presented. The focus is then shifted to statistical methodology: what can be estimated and how, depending on the underlying network, transmission model, and the available data? This survey article discusses several different scenarios, giving references to publications where more details can be found, and identifies important open problems.

Suggested Citation

  • Tom Britton, 2020. "Epidemic models on social networks—With inference," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 74(3), pages 222-241, August.
    • Handle: RePEc:bla:stanee:v:74:y:2020:i:3:p:222-241
    DOI: 10.1111/stan.12203
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    References listed on IDEAS

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    1. Tom Britton & Philip D. O'Neill, 2002. "Bayesian Inference for Stochastic Epidemics in Populations with Random Social Structure," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 29(3), pages 375-390, September.
    2. Nowicki K. & Snijders T. A. B., 2001. "Estimation and Prediction for Stochastic Blockstructures," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1077-1087, September.
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    Cited by:

    1. Jain, Lokesh, 2022. "An entropy-based method to control COVID-19 rumors in online social networks using opinion leaders," Technology in Society, Elsevier, vol. 70(C).
    2. Javier Cifuentes-Faura & Ursula Faura-Martínez & Matilde Lafuente-Lechuga, 2022. "Mathematical Modeling and the Use of Network Models as Epidemiological Tools," Mathematics, MDPI, vol. 10(18), pages 1-14, September.
    3. Palafox-Castillo, Gerardo & Berrones-Santos, Arturo, 2022. "Stochastic epidemic model on a simplicial complex," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

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