Author: Sebastian J. Schreiber; Ruian Ke; Claude Loverdo; Miran Park; Priyanna Ahsan; James O. Lloyd-Smith
Title: Cross-scale dynamics and the evolutionary emergence of infectious diseases Document date: 2016_7_29
ID: hain3be0_34
Snippet: The copyright holder for this preprint (which was not peer-reviewed) is the author/funder. . https://doi.org/10.1101/066688 doi: bioRxiv preprint For short-term infections, the cross-scale reproductive number α is equal to the ratio of the basic reproductive numbers: (5) α = R m R w Thus for short-term infections there is no additional condition required for emergence. Whenever the mutant reproductive number R m exceeds one, there is a mean ten.....
Document: The copyright holder for this preprint (which was not peer-reviewed) is the author/funder. . https://doi.org/10.1101/066688 doi: bioRxiv preprint For short-term infections, the cross-scale reproductive number α is equal to the ratio of the basic reproductive numbers: (5) α = R m R w Thus for short-term infections there is no additional condition required for emergence. Whenever the mutant reproductive number R m exceeds one, there is a mean tendency for the mutant strain to increase in frequency once it has been successfully transmitted to susceptible individuals (i.e. α > 1 because R m > 1 > R w ). The greater the ratio R m /R w , the more rapid the increase in frequency.
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