id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-284060-6eonuc8x	Siriprapaiwan, Supatcha	Generalized reproduction numbers, sensitivity analysis and critical immunity levels of an SEQIJR disease model with immunization and varying total population size	2018-04-30		.txt	text/plain	7294	434	56	Formulas are derived for the sensitivity indices for variations in model parameters of the disease-free reproduction number R d f and for the infected populations in the endemic equilibrium state. The modifications introduced in our analysis include: (1) the existence of an immunization program, (2) changes in the total population due to births and deaths, (3) the derivation of generalized reproduction numbers for disease-free states and endemic equilibrium states, (4) a sensitivity analysis of the effect of variations in parameter values on the reproduction numbers for disease-free states and on the infected populations of the endemic equilibrium state, and (5) a derivation of a simple formula for the critical immunization level required to prevent spread of the disease in an initially disease-free population. We have also derived formulas for sensitivity indices of the disease-free and basic reproduction numbers, and the endemic equilibrium populations for changes in the values of model parameters.	./cache/cord-284060-6eonuc8x.txt	./txt/cord-284060-6eonuc8x.txt