ArticleEpidemics2015
Five challenges for stochastic epidemic models involving global transmission.
Article in Epidemics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Remarks on a Scaling Theory of Spread of COVID-19 with an Application to the Case of Bulgaria.Entropy (Basel, Switzerland) · 2026Article
- The probability of epidemic burnout in the stochastic SIR model with vital dynamics.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Martingales and the characteristic functions of absorption time on bipartite graphs.Royal Society open science · 2021Article
- Improved estimation of time-varying reproduction numbers at low case incidence and between epidemic waves.PLoS computational biology · 2021Article
- Sub-spreading events limit the reliable elimination of heterogeneous epidemics.Journal of the Royal Society, Interface · 2021Article
- The use of mixture density networks in the emulation of complex epidemiological individual-based models.PLoS computational biology · 2020Article
- Patch dynamics modeling framework from pathogens' perspective: Unified and standardized approach for complicated epidemic systems.PloS one · 2020Article
- Hamiltonian dynamics of the SIS epidemic model with stochastic fluctuations.Scientific reports · 2019Article
- Extinction times in the subcritical stochastic SIS logistic epidemic.Journal of mathematical biology · 2018Article
- Inferring pathogen dynamics from temporal count data: the emergence of Xylella fastidiosa in France is probably not recent.The New phytologist · 2018Article
- Stochastic Periodic Solution of a Susceptible-Infective Epidemic Model in a Polluted Environment under Environmental Fluctuation.Computational and mathematical methods in medicine · 2018Article
- Transmission dynamics and control of Rickettsia rickettsii in populations of Hydrochoerus hydrochaeris and Amblyomma sculptum.PLoS neglected tropical diseases · 2017Article
- Stochastic epidemic dynamics on extremely heterogeneous networks.Physical review. E · 2016Article
- Mathematical model for adaptive evolution of populations based on a complex domain.Saudi journal of biological sciences · 2016Article
- The duality of spatial death-birth and birth-death processes and limitations of the isothermal theorem.Royal Society open science · 2015Article
Corrections and comments
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Authors and funding
6 authors.
Funding
Abstract
The most basic stochastic epidemic models are those involving global transmission, meaning that infection rates depend only on the type and state of the individuals involved, and not on their location in the population. Simple as they are, there are still several open problems for such models. For example, when will such an epidemic go extinct and with what probability (questions depending on the population being fixed, changing or growing)? How can a model be defined explaining the sometimes observed scenario of frequent mid-sized epidemic outbreaks? How can evolution of the infectious agent transmission rates be modelled and fitted to data in a robust way?
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.