Discrete time dynamics of a SIRD reinfection model
F. F. EshmatovUygun JamilovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University Street, 100174 Tashkent, UzbekistanKh. O. KhudoyberdievV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University Street, 100174 Tashkent, Uzbekistan
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Annotatsiya
This paper deals with a discrete-time dynamical system generated by a modified susceptible–infected–recovered–dead model (SIRD model; nonlinear operator) in three-dimensional simplex. We introduce a novel approach that incorporates the SIRD model with the quadratic stochastic operator (QSO) that allows for real-time forecasting. The basic reproductive number [Formula: see text] is obtained. We describe the set of fixed points of the operator and demonstrate that all fixed points are non-hyperbolic. Further, we study the asymptotical behavior of the trajectories of this system and show that SIRD operators have a regularity property.
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