View source for Medicine:Transmission coefficient (epidemiology)

The '''transmission coefficient''' is needed for models of [[Medicine:Transmission|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 [[Medicine:Susceptible individual|susceptible]] individuals in the [[Social:Population|population]]. It must be between 0 and 1.<ref>{{cite journal |url=http://mike.hochberg.free.fr/MEHJtb91.pdf |last=Hochberg |first=Michael E. |title=Non-linear transmission rates and the dynamics of infectious disease |journal=[[Biology:Journal of Theoretical Biology|Journal of Theoretical Biology]] |volume=153 |issue=3 |year=1991 |pages=301–321|doi=10.1016/S0022-5193(05)80572-7 |pmid=1798335 |bibcode=1991JThBi.153..301H }}</ref><ref>{{cite journal |doi=10.1098/rstb.2016.0084 |last1=McCallum |first1=Hamish |first2=Andy |last2=Fenton |first3=Peter J. |last3=Hudson |first4=Brian |last4=Lee |first5=Beth |last5=Levick |first6=Rachel |last6=Norman |first7=Sarah E. |last7=Perkins |first8=Mark |last8=Viney |first9=Anthony J. |last9=Wilson |first10=Joanne |last10=Lello |title=Breaking beta: deconstructing the parasite transmission function |journal=Philosophical Transactions of the Royal Society B: Biological Sciences |volume=372 |issue=1719 |year=2017|pmid=28289252 |pmc=5352811 }}</ref> The transmission coefficient is used in the [[Equation|equation]]: :<math> \frac{dY}{dt} = \frac{\beta XY}{N} - \gamma Y </math> <ref>{{cite journal |url=https://www.nature.com/articles/280361a0.pdf?origin=ppub |last1=Anderson |first1=R.M. |last2=May |first2=R.M. |year=1979 |title=Population biology of infectious diseases: Part I |journal=Nature |volume=280 |issue=5721 |pages=361–367|doi=10.1038/280361a0 |pmid=460412 |bibcode=1979Natur.280..361A |s2cid=2270842 }}</ref>
==References==
{{Reflist}}

==See also==
* [[Medicine:Basic reproduction number|Basic reproduction number]]

[[Category:Epidemiology]]

{{Sourceattribution|Transmission coefficient (epidemiology)}}