Julia Sets and Their Control of Discrete Fractional SIRS Models

Julia Sets and Their Control of Discrete Fractional SIRS Models

It is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint. In this paper, Julia set of the discrete fractional SIRS model is established to analyze the fractal dynamics of this model. Then three different...

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Main Authors: Miao Ouyang, Yongping Zhang
Format: Article
Language:English
Published: Hindawi-Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/5059025
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spelling doaj-3375eb6028514ff6b8e33bee7b99849e2020-11-24T21:12:02ZengHindawi-WileyComplexity1076-27871099-05262019-01-01201910.1155/2019/50590255059025Julia Sets and Their Control of Discrete Fractional SIRS ModelsMiao Ouyang0Yongping Zhang1School of Mathematics and Statistics, Shandong University, Weihai 264209, ChinaSchool of Mathematics and Statistics, Shandong University, Weihai 264209, ChinaIt is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint. In this paper, Julia set of the discrete fractional SIRS model is established to analyze the fractal dynamics of this model. Then three different controllers, which are, respectively, added to different parts of the model as a whole, a part, and a product factor, are designed to change the Julia set, and the graphs illustrate the complexity of the model. Simulation results show the efficacy of these methods.http://dx.doi.org/10.1155/2019/5059025
collection DOAJ
language English
format Article
sources DOAJ
author Miao Ouyang
Yongping Zhang
spellingShingle Miao Ouyang
Yongping Zhang
Julia Sets and Their Control of Discrete Fractional SIRS Models
Complexity
author_facet Miao Ouyang
Yongping Zhang
author_sort Miao Ouyang
title Julia Sets and Their Control of Discrete Fractional SIRS Models
title_short Julia Sets and Their Control of Discrete Fractional SIRS Models
title_full Julia Sets and Their Control of Discrete Fractional SIRS Models
title_fullStr Julia Sets and Their Control of Discrete Fractional SIRS Models
title_full_unstemmed Julia Sets and Their Control of Discrete Fractional SIRS Models
title_sort julia sets and their control of discrete fractional sirs models
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2019-01-01
description It is of crucial significance to study infectious disease phenomenon by using the discrete SIRS model with the Caputo deltas sense and fractal viewpoint. In this paper, Julia set of the discrete fractional SIRS model is established to analyze the fractal dynamics of this model. Then three different controllers, which are, respectively, added to different parts of the model as a whole, a part, and a product factor, are designed to change the Julia set, and the graphs illustrate the complexity of the model. Simulation results show the efficacy of these methods.
url http://dx.doi.org/10.1155/2019/5059025
work_keys_str_mv AT miaoouyang juliasetsandtheircontrolofdiscretefractionalsirsmodels
AT yongpingzhang juliasetsandtheircontrolofdiscretefractionalsirsmodels
_version_ 1716751828726579200

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