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A non-linear discrete-time dynamical system related to epidemic SISI model

A non-linear discrete-time dynamical system related to epidemic SISI model AbstractWe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Communications in Mathematics de Gruyter

A non-linear discrete-time dynamical system related to epidemic SISI model

Shoyimardonov, Sobirjon K.
Communications in Mathematics , Volume 29 (3): 21 – Dec 1, 2021
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Publisher
de Gruyter
Copyright
© 2021 Sobirjon K. Shoyimardonov, published by Sciendo
eISSN
2336-1298
DOI
10.2478/cm-2021-0032
Publisher site
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Abstract

AbstractWe 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.

Journal

Communications in Mathematics – de Gruyter

Published: Dec 1, 2021

Keywords: Quadratic stochastic operator; fixed point; discrete-time; SISI model; epidemic; 37C15; 37C25; 37N25

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