Feedback control variables to restrain the Babesiosis disease

In this paper, we complete the study of the dynamics of a recognized continuous-time model for the Babesiosis disease. The local and global asymptotic stability of the endemic state are established theoretically and experimentally. In addition, to restrain the disease in the original model when the...

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Detalles Bibliográficos
Autores: Dang , Quang A, Hoang , Manh T, Trejos Ángel, Deccy Y, Valverde Fajardo, José Carlos
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad de Castilla-La Mancha
Repositorio:RUIdeRA. Repositorio Institucional de la UCLM
OAI Identifier:oai:ruidera.uclm.es:10578/44167
Acceso en línea:https://hdl.handle.net/10578/44167
Access Level:acceso abierto
Palabra clave:Attractors
Babesiosis disease
Feedback control
Global stability
Lyapunov functions and stability
Numerical treatment of dynamical systems
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spelling Feedback control variables to restrain the Babesiosis diseaseDang , Quang AHoang , Manh TTrejos Ángel, Deccy YValverde Fajardo, José CarlosAttractorsBabesiosis diseaseFeedback controlGlobal stabilityLyapunov functions and stabilityNumerical treatment of dynamical systemsIn this paper, we complete the study of the dynamics of a recognized continuous-time model for the Babesiosis disease. The local and global asymptotic stability of the endemic state are established theoretically and experimentally. In addition, to restrain the disease in the original model when the endemic state exists, we propose and study the continuous model with feedback controls. The global stability of the boundary-equilibrium point of this model is analyzed by means of rigorous mathematical methods. As an important consequence of this result, we propose a strategy to select feedback control variables in order to restrain the disease in the original model. This strategy allows us to make the disease vanish completely. In other words, the feedback controls are specially effective for restraining disease in the model. The validity of the established theoretical result is supported by a set of numerical simulations.Wiley202520252019info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://hdl.handle.net/10578/44167reponame:RUIdeRA. Repositorio Institucional de la UCLMinstname:Universidad de Castilla-La ManchaInglés102.01-2017.306FEDER OP2014-20202019-GRIN-27168PGC2018-097198-B-I00info:eu-repo/semantics/openAccessoai:ruidera.uclm.es:10578/441672026-05-27T07:36:41Z
dc.title.none.fl_str_mv Feedback control variables to restrain the Babesiosis disease
title Feedback control variables to restrain the Babesiosis disease
spellingShingle Feedback control variables to restrain the Babesiosis disease
Dang , Quang A
Attractors
Babesiosis disease
Feedback control
Global stability
Lyapunov functions and stability
Numerical treatment of dynamical systems
title_short Feedback control variables to restrain the Babesiosis disease
title_full Feedback control variables to restrain the Babesiosis disease
title_fullStr Feedback control variables to restrain the Babesiosis disease
title_full_unstemmed Feedback control variables to restrain the Babesiosis disease
title_sort Feedback control variables to restrain the Babesiosis disease
dc.creator.none.fl_str_mv Dang , Quang A
Hoang , Manh T
Trejos Ángel, Deccy Y
Valverde Fajardo, José Carlos
author Dang , Quang A
author_facet Dang , Quang A
Hoang , Manh T
Trejos Ángel, Deccy Y
Valverde Fajardo, José Carlos
author_role author
author2 Hoang , Manh T
Trejos Ángel, Deccy Y
Valverde Fajardo, José Carlos
author2_role author
author
author
dc.subject.none.fl_str_mv Attractors
Babesiosis disease
Feedback control
Global stability
Lyapunov functions and stability
Numerical treatment of dynamical systems
topic Attractors
Babesiosis disease
Feedback control
Global stability
Lyapunov functions and stability
Numerical treatment of dynamical systems
description In this paper, we complete the study of the dynamics of a recognized continuous-time model for the Babesiosis disease. The local and global asymptotic stability of the endemic state are established theoretically and experimentally. In addition, to restrain the disease in the original model when the endemic state exists, we propose and study the continuous model with feedback controls. The global stability of the boundary-equilibrium point of this model is analyzed by means of rigorous mathematical methods. As an important consequence of this result, we propose a strategy to select feedback control variables in order to restrain the disease in the original model. This strategy allows us to make the disease vanish completely. In other words, the feedback controls are specially effective for restraining disease in the model. The validity of the established theoretical result is supported by a set of numerical simulations.
publishDate 2019
dc.date.none.fl_str_mv 2019
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10578/44167
url https://hdl.handle.net/10578/44167
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv 102.01-2017.306
FEDER OP2014-2020
2019-GRIN-27168
PGC2018-097198-B-I00
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:RUIdeRA. Repositorio Institucional de la UCLM
instname:Universidad de Castilla-La Mancha
instname_str Universidad de Castilla-La Mancha
reponame_str RUIdeRA. Repositorio Institucional de la UCLM
collection RUIdeRA. Repositorio Institucional de la UCLM
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869423266881339392
score 15.81155

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