id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-004578-x6uatd7j	Breban, Romulus	Role of environmental persistence in pathogen transmission: a mathematical modeling approach	2012-03-01		.txt	text/plain	4134	272	54	Although diseases such as influenza, tuberculosis and SARS are transmitted through an environmentally mediated mechanism, most modeling work on these topics is based on the concepts of infectious contact and direct transmission. In this paper we use a paradigm model to show that environmental transmission appears like direct transmission in the case where the pathogen persists little time in the environment. However, for obtaining results emerging from the first order expansion in the pathogen persistence time (e.g., the direct transmission model and its corresponding transmissibility formula) one may use the slow-fast dynamics formalism, a general technique of singular perturbation theory. In this work, we have shown using a paradigm model that direct transmission holds as an approximation for the environmental transmission mechanism in the case where the persistence time of the pathogen in the environment is short.	./cache/cord-004578-x6uatd7j.txt	./txt/cord-004578-x6uatd7j.txt