ArticleBulletin of mathematical biology2015
Dynamics of Multi-stage Infections on Networks.
Article in Bulletin of mathematical biology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- A within-host birth-death and time-dose-response model for Legionnaires' disease.Royal Society open science · 2025Article
- Differentiating Contact with Symptomatic and Asymptomatic Infectious Individuals in a SEIR Epidemic Model.Bulletin of mathematical biology · 2025Article
- On the optimal control of SIR model with Erlang-distributed infectious period: isolation strategies.Journal of mathematical biology · 2021Article
- Impact of the infectious period on epidemics.Physical review. E · 2018Article
- Pairwise approximation forProceedings. Mathematical, physical, and engineering sciences · 2018Article
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3 authors.
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Abstract
This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard closure, a number of important characteristics of disease dynamics are derived analytically, including the final size of an epidemic and a threshold for epidemic outbreaks, and it is shown how these quantities depend on disease characteristics, as well as the number of disease stages. Stochastic simulations of dynamics on networks are performed and compared to output of pairwise models for several realistic examples of infectious diseases to illustrate the role played by the number of stages in the disease dynamics. These results show that a higher number of disease stages results in faster epidemic outbreaks with a higher peak prevalence and a larger final size of the epidemic. The agreement between the pairwise and simulation models is excellent in the cases we consider.
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