Geodesic
A non-linear discrete-time dynamical system related to epidemic SISI model
Communications in Mathematics, Tome 29 (2021) no. 3, pp. 505-525

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We consider SISI epidemic model with discrete-time. The crucial point of this model is that an individual can be infected twice. This non-linear evolution operator depends on seven parameters and we assume that the population size under consideration is constant, so death rate is the same with birth rate per unit time. Reducing to quadratic stochastic operator (QSO) we study the dynamical system of the SISI model.
Classification : 37C15, 37C25, 37N25
Keywords: Quadratic stochastic operator; fixed point; discrete-time; SISI model; epidemic 
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     title = {A non-linear discrete-time dynamical system related to epidemic {SISI} model},
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Shoyimardonov, Sobirjon K. A non-linear discrete-time dynamical system related to epidemic SISI model. Communications in Mathematics, Tome 29 (2021) no. 3, pp. 505-525. http://geodesic.mathdoc.fr/item/COMIM_2021__29_3_a13/