id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-007399-qbgz7eqt	Bilal, Shakir	Effects of quasiperiodic forcing in epidemic models	2016-09-22		.txt	text/plain	5176	306	53	6, 7 In typical seasonally forced models of infectious diseases, the transmission rate (i.e., the per capita rate at which a susceptible individual interacts with an infectious individual and acquires a new infection) is modulated in a periodic fashion using a sine or cosine function. One of the characteristic features of temporally forced systems is that they possess multiple coexisting attractors: the dynamics sensitively depends on the initial values of state variables. [15] [16] [17] Coexistence of multiple attractors or states has also been observed in the dynamics of epidemic models when the transmission rates are periodically forced. As hinted in the beginning of this paragraph, the models considered here vary in internal feedbacks on disease dynamics in terms of the effect of immune response in regulating the build-up of susceptibles during inter-epidemic periods necessary for fuelling next outbreaks. Previous studies, investigating the effects of periodic modulation in the transmission rate, showed the coexistence of multiple attractors in the dynamics of the SIR family of epidemic models.	./cache/cord-007399-qbgz7eqt.txt	./txt/cord-007399-qbgz7eqt.txt