id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-121428-79wyxedn	Dimarco, G.	Social contacts and the spread of infectious diseases	2020-09-02		.txt	text/plain	8658	421	55	The kinetic description leads to study the evolution over time of Boltzmann type equations describing the number densities of social contacts of susceptible, infected and recovered individuals, whose proportions are driven by a classical compartmental model in epidemiology. Inspired by the model considered in [14] for describing a social attitude and making use of the SIR dynamics, we present here a model composed by a system of three kinetic equations, each one describing the time evolution of the distribution of the number of contacts for the subpopulation belonging to a given epidemiological class. Once the system of Fokker-Planck type equations has been derived, in Section 4 we close the SIR-type system of kinetic equations around the Gamma-type equilibria to obtain a SIR model in which the presence and consequently the evolution of the social contacts leads to a non-linear incidence rate of the infectious disease satisfying the compatibility conditions introduced in [33] .	./cache/cord-121428-79wyxedn.txt	./txt/cord-121428-79wyxedn.txt