id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-104158-l7s2utqb	Maheshwari, H.	CoSIR: Managing an Epidemic via Optimal Adaptive Control of Transmission Policy	2020-11-13		.txt	text/plain	5453	435	61	• We demonstrate that the SIR dynamics map to the well-known Lotka-Volterra (LV) system [8] on interpreting infectious patients as predators and susceptible contacts (i.e., the product of transmission rate and susceptible population) as the prey under specific conditions on the transmission rate. • We derive optimal control policy for transmission rate (CoSIR) using control-Lyapunov functions [45] based on the energy of the system, that is guaranteed to converge to the desired equilibrium, i.e., target infectious levels from any valid initial state. We also discuss extensions to compartmental model variants that involve an incubation period (e.g., delayed SIR, SEIR) as well as control of the infectious period that is influenced by testing and quarantine policy. We now consider the problem of controlling the transmission rate β for the LVSIR model (Fig 2(c) ) to nudge the infectious levels to a desired equilibrium.	./cache/cord-104158-l7s2utqb.txt	./txt/cord-104158-l7s2utqb.txt