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This paper relies on the concept of next generation matrix defined ad hoc for a new proposed extended SEIR model referred to asSI(n)R-model to study its stability. The model includesnsuccessive stages of infectious subpopulations, each one acting at the exposed subpopulation of the next infectious stage in a cascade global disposal where each infectious population acts as the exposed subpopulation of the next infectious stage. The model also has internal delays which characterize the timedoi:10.1155/2015/379576 fatcat:yw3bw6kearbb5jyaygry5ov4iq