The impact of contact structure and mixing on control measures and disease-induced herd immunity in epidemic models: a mean-field model perspective

DOI10.1007/s11538-021-00947-8zbMath1482.92092arXiv2007.06975OpenAlexW3205379901WikidataQ113900121 ScholiaQ113900121MaRDI QIDQ2051440

Matthew D. Dorey, Joel C. Miller, Luc Berthouze, Francesco Di Lauro, Istvan Z. Kiss

Publication date: 24 November 2021

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06975

zbMATH Keywords

disease-induced herd immunitymean-field epidemic models

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items (4)

Herd immunity under individual variation and reinfection ⋮ Probabilistic predictions of SIS epidemics on networks based on population-level observations ⋮ Novel spatial profiles of some diffusive SIS epidemic models ⋮ The impact of household structure on disease-induced herd immunity

Cites Work

• Model hierarchies in edge-based compartmental modeling for infectious disease spread
• Reproduction numbers for epidemic models with households and other social structures. I: Definition and calculation of \(R_{0}\)
• Optimal vaccination and treatment of an epidemic network model
• Mathematics of epidemics on networks. From exact to approximate models
• A note on a paper by Erik Volz: SIR dynamics in random networks
• Dynamical systems on networks. A tutorial
• Networks
• Stochastic Epidemic Models with Inference
• Epidemic Spread in Networks: Existing Methods and Current Challenges

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