Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise

The estimations and control of Julia sets of the SIS(susceptible-infectious-susceptible) model under noise perturbation are studied. At first, a discrete SIS model is introduced, and the effects of additive and multiplicative noises on the fractal characteristics of the SIS model are discussed. Then...

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Detalles Bibliográficos
Autores principales: Xie, Liheng, Zhang, Yongping
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2022
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9638186/
https://www.ncbi.nlm.nih.gov/pubmed/36373035
http://dx.doi.org/10.1007/s11071-022-08048-4
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author Xie, Liheng
Zhang, Yongping
author_facet Xie, Liheng
Zhang, Yongping
author_sort Xie, Liheng
collection PubMed
description The estimations and control of Julia sets of the SIS(susceptible-infectious-susceptible) model under noise perturbation are studied. At first, a discrete SIS model is introduced, and the effects of additive and multiplicative noises on the fractal characteristics of the SIS model are discussed. Then, estimations of the Julia sets of the SIS model under additive and multiplicative noise perturbations are given, respectively. At last, the feedback control method is used to set appropriate controllers to realize control of the Julia set, and the influence of noise on the Julia set of the SIS model is reduced. The reason why this method is effective is also explained.
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spelling pubmed-96381862022-11-07 Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise Xie, Liheng Zhang, Yongping Nonlinear Dyn Original Paper The estimations and control of Julia sets of the SIS(susceptible-infectious-susceptible) model under noise perturbation are studied. At first, a discrete SIS model is introduced, and the effects of additive and multiplicative noises on the fractal characteristics of the SIS model are discussed. Then, estimations of the Julia sets of the SIS model under additive and multiplicative noise perturbations are given, respectively. At last, the feedback control method is used to set appropriate controllers to realize control of the Julia set, and the influence of noise on the Julia set of the SIS model is reduced. The reason why this method is effective is also explained. Springer Netherlands 2022-11-05 2023 /pmc/articles/PMC9638186/ /pubmed/36373035 http://dx.doi.org/10.1007/s11071-022-08048-4 Text en © The Author(s), under exclusive licence to Springer Nature B.V. 2022, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Paper
Xie, Liheng
Zhang, Yongping
Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise
title Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise
title_full Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise
title_fullStr Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise
title_full_unstemmed Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise
title_short Estimations and Control of Julia Sets of the SIS Model Perturbed by Noise
title_sort estimations and control of julia sets of the sis model perturbed by noise
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9638186/
https://www.ncbi.nlm.nih.gov/pubmed/36373035
http://dx.doi.org/10.1007/s11071-022-08048-4
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