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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...

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Autores principales: Bilal, Muhammad, Ahmad, Iftikhar, Babar, Sheraz Ahmad, Shahzad, Khurram
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2021
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.
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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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