Reproduction numbers of infectious disease models
By P. van den Driessche. Infectious Disease Modelling, 2017
705 citations recorded by the source corpus.
This primer article focuses on the basic reproduction number, ℛ0, for infectious diseases, and other reproduction numbers related to ℛ0 that are useful in guiding control strategies. Beginning with a simple population model, the concept is developed for a threshold value of ℛ0 determining whether or not the disease dies out. The next generation matrix method of calculating ℛ0 in a compartmental model is described and illustrated. To address control strategies, type and target reproduction numbers are defined, as well as sensitivity and elasticity indices. These theoretical ideas are then applied to models that are formulated for West Nile virus in birds (a vector-borne disease), cholera in humans (a disease with two transmission pathways), anthrax in animals (a disease that can be spread by dead carcasses and spores), and Zika in humans (spread by mosquitoes and sexual contacts). Some parameter values from literature data are used to illustrate the results. Finally, references for other ways to calculate ℛ0 are given. These are useful for more complicated models that, for example, take account of variations in environmental fluctuation or stochasticity.
Subfields: Genetics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/12406013f5557effe97682e08e0283f823015ac4
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In Genetics
In Modeling and Simulation
- J. J. Nieto
- Delfim F. M. Torres
- Iván Area
- Faical Ndairou
- Dumitru Băleanu
- Bashir Ahmad
- Rui A. C. Ferreira
- Loïc Bourdin
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Pathogenicity and transmissibility of 2019-nCoV—A quick overview and comparison with other emerging viruses (2020, neutral): “Table 1 gives estimates of case fatality rate as well as R0 value of several commonly known emerging virus infections based on data collected from literatures [16,17], WHO and CDC.”
- Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan (2020, background): “One of the most significant thresholds when studying infectious isease models, which quantifies disease invasion or extinction in population, is the basic reproduction number [12] .”