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State Feedback and Synergetic controllers for tuberculosis in infected population
Tuberculosis (TB) is a contagious disease which can easily be disseminated in a society. A five state Susceptible, exposed, infected, recovered and resistant (SEIRs) epidemiological mathematical model of TB has been considered along with two non‐linear controllers: State Feedback (SFB) and Synergeti...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
John Wiley and Sons Inc.
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8675849/ https://www.ncbi.nlm.nih.gov/pubmed/33786984 http://dx.doi.org/10.1049/syb2.12013 |
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author | Bilal, Muhammad Ahmad, Iftikhar Babar, Sheraz Ahmad Shahzad, Khurram |
author_facet | Bilal, Muhammad Ahmad, Iftikhar Babar, Sheraz Ahmad Shahzad, Khurram |
author_sort | Bilal, Muhammad |
collection | PubMed |
description | Tuberculosis (TB) is a contagious disease which can easily be disseminated in a society. A five state Susceptible, exposed, infected, recovered and resistant (SEIRs) epidemiological mathematical model of TB has been considered along with two non‐linear controllers: State Feedback (SFB) and Synergetic controllers have been designed for the control and prevention of the TB in a population. Using the proposed controllers, the infected individuals have been reduced/controlled via treatment, and susceptible individuals have been prevented from the disease via vaccination. A mathematical analysis has been carried out to prove the asymptotic stability of proposed controllers by invoking the Lyapunov control theory. Simulation results using MATLAB/Simulink manifest that the non‐linear controllers show fast convergence of the system states to their respective desired levels. Comparison shows that proposed SFB controller performs better than Synergetic controller in terms of convergence time, steady state error and oscillations. |
format | Online Article Text |
id | pubmed-8675849 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | John Wiley and Sons Inc. |
record_format | MEDLINE/PubMed |
spelling | pubmed-86758492022-02-16 State Feedback and Synergetic controllers for tuberculosis in infected population Bilal, Muhammad Ahmad, Iftikhar Babar, Sheraz Ahmad Shahzad, Khurram IET Syst Biol Original Research Papers Tuberculosis (TB) is a contagious disease which can easily be disseminated in a society. A five state Susceptible, exposed, infected, recovered and resistant (SEIRs) epidemiological mathematical model of TB has been considered along with two non‐linear controllers: State Feedback (SFB) and Synergetic controllers have been designed for the control and prevention of the TB in a population. Using the proposed controllers, the infected individuals have been reduced/controlled via treatment, and susceptible individuals have been prevented from the disease via vaccination. A mathematical analysis has been carried out to prove the asymptotic stability of proposed controllers by invoking the Lyapunov control theory. Simulation results using MATLAB/Simulink manifest that the non‐linear controllers show fast convergence of the system states to their respective desired levels. Comparison shows that proposed SFB controller performs better than Synergetic controller in terms of convergence time, steady state error and oscillations. John Wiley and Sons Inc. 2021-03-30 /pmc/articles/PMC8675849/ /pubmed/33786984 http://dx.doi.org/10.1049/syb2.12013 Text en © 2021 The Authors. IET Systems Biology published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology. https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Original Research Papers Bilal, Muhammad Ahmad, Iftikhar Babar, Sheraz Ahmad Shahzad, Khurram State Feedback and Synergetic controllers for tuberculosis in infected population |
title | State Feedback and Synergetic controllers for tuberculosis in infected population |
title_full | State Feedback and Synergetic controllers for tuberculosis in infected population |
title_fullStr | State Feedback and Synergetic controllers for tuberculosis in infected population |
title_full_unstemmed | State Feedback and Synergetic controllers for tuberculosis in infected population |
title_short | State Feedback and Synergetic controllers for tuberculosis in infected population |
title_sort | state feedback and synergetic controllers for tuberculosis in infected population |
topic | Original Research Papers |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8675849/ https://www.ncbi.nlm.nih.gov/pubmed/33786984 http://dx.doi.org/10.1049/syb2.12013 |
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