id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-268959-wh28s0ws	Gao, Da-peng	Optimal control analysis of a tuberculosis model()()	2017-12-29		.txt	text/plain	4628	303	58	[8] in 2002, the time dependent optimal control strategies have been employed in the study of dynamics of TB mathematical models by many authors (see, for example, [8, [26] [27] [28] [29] [30] [31] [32] [33] [34] ). First, a "case finding" (identification of latently infected individuals) control mechanism is incorporated in model (1.1) by replacing constant vaccination rate with u 1 ( t ). Following the idea of Kumar and Srivastava [14] , in this paper, the cost constructions that account for high nonlinear relationship (nonlinearity of order four i.e. u 4 1 (t) ) between cost and effort s during vaccination process has been employed in the application of optimal control to TB mathematical models. Our goal is to minimize the number of infected individuals (including latent, infectious, being treated individuals) with TB virus while at the same time keeping the cost of implementing these three control strategies very low. Vaccination and treatment as control interventions in an infectious disease model with their cost optimization	./cache/cord-268959-wh28s0ws.txt	./txt/cord-268959-wh28s0ws.txt