id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-010719-90379pjd	Saeedian, M.	Memory effects on epidemic evolution: The susceptible-infected-recovered epidemic model	2017-02-21		.txt	text/plain	4814	307	59	We also consider the SIR model on structured networks and study the effect of topology on threshold points in a non-Markovian dynamics. In all previous works, the authors rarely discuss the effect of fractional order differential equations and memory on the epidemic thresholds and the macroscopic behavior of epidemic outbreaks. This means that the initial time for taking into account the disease control memory is shifted toward more recent times: thereafter, the dynamics is evolving with a new fraction of susceptible and infected individuals, different from that predicted by the solution of the differential equations. In Sec. II, following Caputo's approach, we convert the differential equations of the standard SIR model to the fractional derivatives, thereby allowing us to consider memory effects. In order to observe the influence of memory effects, first we rewrite the differential equations (1) in terms of time-dependent integrals as follows:	./cache/cord-010719-90379pjd.txt	./txt/cord-010719-90379pjd.txt