id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-010758-ggoyd531	Valdano, Eugenio	Epidemic Threshold in Continuous-Time Evolving Networks	2018-02-06		.txt	text/plain	3590	262	53	A vast array of theoretical results characterize the epidemic threshold [14] , mainly under the limiting assumptions of quenched and annealed networks [4, [15] [16] [17] [18] , i.e., when the time scale of the network evolution is much slower or much faster, respectively, than the dynamical process. Departing from traditional approximations, few novel approaches are now available that derive the epidemic threshold constrained to specific contexts of generative models of temporal networks [22, 32, 35, [38] [39] [40] [41] or considering generic discrete-time evolving contact patterns [42] [43] [44] . Our approach yields a solution for the threshold of epidemics spreading on generic continuously evolving networks, and a closed form under a specific condition that is then validated through numerical simulations. By mapping the system into a multilayer structure encoding both network evolution and diffusion dynamics, the infection propagator approach derives the epidemic threshold as the solution of the equation ρ½PðT step Þ ¼ 1 [43, 44] , where ρ is the spectral radius of the following matrix:	./cache/cord-010758-ggoyd531.txt	./txt/cord-010758-ggoyd531.txt