Medicine:Transmission coefficient (epidemiology)

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The transmission coefficient is needed for models of Transmission where for instance a vector carries a pathogen or parasite between hosts. It is represented by β and it is the rate at which a pathogen moves from infected individuals to susceptible individuals in the population. It must be between 0 and 1.[1][2] The transmission coefficient is used in the equation: :[math]\displaystyle{ \frac{dY}{dt} = \frac{\beta XY}{N} - \gamma Y }[/math] [3]

References

  1. Hochberg, Michael E. (1991). "Non-linear transmission rates and the dynamics of infectious disease". Journal of Theoretical Biology 153 (3): 301–321. doi:10.1016/S0022-5193(05)80572-7. PMID 1798335. Bibcode1991JThBi.153..301H. http://mike.hochberg.free.fr/MEHJtb91.pdf. 
  2. McCallum, Hamish; Fenton, Andy; Hudson, Peter J.; Lee, Brian; Levick, Beth; Norman, Rachel; Perkins, Sarah E.; Viney, Mark et al. (2017). "Breaking beta: deconstructing the parasite transmission function". Philosophical Transactions of the Royal Society B: Biological Sciences 372 (1719). doi:10.1098/rstb.2016.0084. PMID 28289252. 
  3. Anderson, R.M.; May, R.M. (1979). "Population biology of infectious diseases: Part I". Nature 280 (5721): 361–367. doi:10.1038/280361a0. PMID 460412. Bibcode1979Natur.280..361A. https://www.nature.com/articles/280361a0.pdf?origin=ppub. 

See also