ArticleProceedings. Biological sciences2004
Frequency-dependent incidence in models of sexually transmitted diseases: portrayal of pair-based transmission and effects of illness on contact behaviour.
Article in Proceedings. Biological sciences, 2004. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
- Partnership dynamics in mathematical models and implications for representation of sexually transmitted infections: a review.Annals of epidemiology · 2021Review
- A systemic approach to assess the potential and risks of wildlife culling for infectious disease control.Communications biology · 2020Review
- Large benefits to youth-focused HIV treatment-as-prevention efforts in generalized heterosexual populations: An agent-based simulation model.PLoS computational biology · 2019Article
- The shape of the contact-density function matters when modelling parasite transmission in fluctuating populations.Royal Society open science · 2017Article
- Pair formation models for sexually transmitted infections: A primer.Infectious Disease Modelling · 2017Review
- Host heterogeneity affects both parasite transmission to and fitness on subsequent hosts.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2017Article
- Article
- Crossing the scale from within-host infection dynamics to between-host transmission fitness: a discussion of current assumptions and knowledge.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2015Review
- Incorporating disease and population structure into models of SIR disease in contact networks.PloS one · 2013Article
- Optimizing reactive responses to outbreaks of immunizing infections: balancing case management and vaccination.PloS one · 2012Article
- Comparability of results from pair and classical model formulations for different sexually transmitted infections.PloS one · 2012Article
- Sickness behaviour acting as an evolutionary trap? Male house finches preferentially feed near diseased conspecifics.Biology letters · 2010Article
- Wildlife cancer: a conservation perspective.Nature reviews. Cancer · 2009Review
- Controlling nosocomial infection based on structure of hospital social networks.Journal of theoretical biology · 2008Article
- Species coexistence and periodicity in host-host-pathogen models.Journal of mathematical biology · 2005Article
- Article
- Measuring the transmission dynamics of a sexually transmitted disease.Proceedings of the National Academy of Sciences of the United States of America · 2005Article
- The effect of treatment on pathogen virulence.Journal of theoretical biology · 2005Article
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3 authors.
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Abstract
We explore the transmission process for sexually transmitted diseases (STDs). We derive the classical frequency-dependent incidence mechanistically from a pair-formation model, using an approximation that applies to populations with rapid pairing dynamics (such as core groups or non-pair-bonding animals). This mechanistic derivation provides a framework to assess how accurately frequency-dependent incidence portrays the pair-based transmission known to underlie STD dynamics. This accuracy depends strongly on the disease being studied: frequency-dependent formulations are more suitable for chronic less-transmissible infections than for transient highly transmissible infections. Our results thus support earlier proposals to divide STDs into these two functional classes, and we suggest guidelines to help assess under what conditions each class can be appropriately modelled using frequency-dependent incidence. We then extend the derivation to include situations where infected individuals exhibit altered pairing behaviour. For four cases of increasing behavioural complexity, analytic expressions are presented for the generalized frequency-dependent incidence rate, basic reproductive number (R0) and steady-state prevalence (i infinity) of an epidemic. The expression for R0 is identical for all cases, giving refined insights into determinants of invasibility of STDs. Potentially significant effects of infection-induced changes in contact behaviour are illustrated by simulating epidemics of bacterial and viral STDs. We discuss the application of our results to STDs (in humans and animals) and other infectious diseases.
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