Мақола

Discrete time dynamics of a SIRD reinfection model

F. F. EshmatovUygun JamilovAKFA University, 264, National Park Street, Barkamol MFY, Yangiabad Village, Qibray District, 111221 Tashkent Region, UzbekistanKh. O. KhudoyberdievV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University Street, 100174 Tashkent, Uzbekistan

International Journal of Biomathematicsjournal2022en

ABI

Аннотация

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.

Мавзулар

Mathematical and Theoretical Epidemiology and Ecology Models Fractional Differential Equations Solutions COVID-19 epidemiological studies

Идентификаторлар

DOI: 10.1142/s1793524522501042

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