A non-linear discrete-time dynamical system related to epidemic SISI model-Reference-Cited by-同舟云学术

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

Published:2021-12-01 Issue:3 Volume:29 Page:505-525
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Shoyimardonov Sobirjon K.¹

Affiliation:

1. V.I.Romanovskiy institute of mathematics , 9 University street, 100174 , Tashkent , Uzbekistan .

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2021-0032

Reference8 articles.

1. [1] R.L. Devaney: An Introduction to Chaotic Dynamical System. Westview Press (2003).

2. [2] R.N. Ganikhodzhaev, F.M. Mukhamedov, U.A. Rozikov: Quadratic stochastic operators and processes: results and open problems. Inf. Dim. Anal. Quant. Prob. Rel. Fields 14 (2) (2011) 279–335.

3. [3] D. Greenhalgh, O. Diekmann, M. de Jong: Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity. Math.Biosc. 165 (1) (2000) 25 pp.

4. [4] Y.I. Lyubich: Mathematical structures in population genetics. Springer-Verlag, Berlin (1992).10.1007/978-3-642-76211-6

5. [5] J. Müller, Ch. Kuttler: Methods and models in mathematical biology. Springer (2015).10.1007/978-3-642-27251-6

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamical Analysis of an SIS Epidemic Integrodifference Model;Journal of Applied Mathematics and Physics;2023