id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-018899-tbfg0vmd	Brauer, Fred	Epidemic Models	2011-10-03		.txt	text/plain	19642	1293	65	For example, one of the fundamental results in mathematical epidemiology is that most mathematical epidemic models, including those that include a high degree of heterogeneity, usually exhibit "threshold" behavior, which in epidemiological terms can be stated as follows: If the average number of secondary infections caused by an average infective is less than one, a disease will die out, while if it exceeds one there will be an epidemic. [Technically, the attack rate should be called an attack ratio, since it is dimensionless and is not a rate.] The final size relation (9.3) can be generalized to epidemic models with more complicated compartmental structure than the simple SIR model (9.2), including models with exposed periods, treatment models, and models including quarantine of suspected individuals and isolation of diagnosed infectives. Compartmental models for epidemics are not suitable for describing the beginning of a disease outbreak because they assume that all members of a population are equally likely to make contact with a very small number of infectives.	./cache/cord-018899-tbfg0vmd.txt	./txt/cord-018899-tbfg0vmd.txt