A mathematical model for Babesiosis disease in bovine and tick populations

In this paper, we analyze the Babesiosis transmission dynamics on bovine and tick populations. Ticks play a role of infec- tious agents and vector of the protozoan Babesia hemo-parasite. In this sense, we set out a mathematical model with constant size population for the evolution of the infected bo...

Descripción completa

Detalles Bibliográficos
Autores: Aranda, Diego F., Trejos, Deccy Y., Valverde, Jose C., Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/60964
Acceso en línea:https://riunet.upv.es/handle/10251/60964
Access Level:acceso abierto
Palabra clave:Nonlinear dynamical systems
Lyapunov functions and stability
Epidemiology
Simulation of models
MATEMATICA APLICADA
id ES_20df2f0668d145e3e12217a6cc206d02
oai_identifier_str oai:riunet.upv.es:10251/60964
network_acronym_str ES
network_name_str España
repository_id_str
spelling A mathematical model for Babesiosis disease in bovine and tick populationsAranda, Diego F.Trejos, Deccy Y.Valverde, Jose C.Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532Nonlinear dynamical systemsLyapunov functions and stabilityEpidemiologySimulation of modelsMATEMATICA APLICADAIn this paper, we analyze the Babesiosis transmission dynamics on bovine and tick populations. Ticks play a role of infec- tious agents and vector of the protozoan Babesia hemo-parasite. In this sense, we set out a mathematical model with constant size population for the evolution of the infected bovines with Babesiosis and analyze its qualitative dynamics. Statistical data are used to estimate some of the parameters of the model. Numerical simulations of the model varying the parameters show different scenarios about the spread of the diseaseJose C. Valverde thanks Junta de Comunidades de Castilla-La Mancha and Ministerio de Ciencia e Innovacion of Spain for their support for this work through the grants PEII09-0184-7802 and MTM2008-03679/MTM, respectively.Wiley: 12 monthsFacultad de Administración y Dirección de EmpresasDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarRepositorio Institucional de la Universitat Politècnica de València Riunet20122012-02-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/60964reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengMinisterio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2008-03679 ECUACIONES EN DIFERENCIAS Y DIFERENCIALES Y SERIES TEMPORALES: ASPECTOS PUROS Y APLICADOS DE LA DINAMICA NO LINEALJunta de Comunidades de Castilla-La Mancha http://dx.doi.org/10.13039/501100011698 PEII09-0184-7802 Análisis De Condiciones No Estándar De Bifurcación En Sistemas Dinámicos Y Su Aplicación A Modelos Experimentales.open accesshttp://purl.org/coar/access_right/c_abf2Reserva de todos los derechoshttp://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/609642026-06-13T07:49:27Z
dc.title.none.fl_str_mv A mathematical model for Babesiosis disease in bovine and tick populations
title A mathematical model for Babesiosis disease in bovine and tick populations
spellingShingle A mathematical model for Babesiosis disease in bovine and tick populations
Aranda, Diego F.
Nonlinear dynamical systems
Lyapunov functions and stability
Epidemiology
Simulation of models
MATEMATICA APLICADA
title_short A mathematical model for Babesiosis disease in bovine and tick populations
title_full A mathematical model for Babesiosis disease in bovine and tick populations
title_fullStr A mathematical model for Babesiosis disease in bovine and tick populations
title_full_unstemmed A mathematical model for Babesiosis disease in bovine and tick populations
title_sort A mathematical model for Babesiosis disease in bovine and tick populations
dc.creator.none.fl_str_mv Aranda, Diego F.
Trejos, Deccy Y.
Valverde, Jose C.
Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
author Aranda, Diego F.
author_facet Aranda, Diego F.
Trejos, Deccy Y.
Valverde, Jose C.
Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
author_role author
author2 Trejos, Deccy Y.
Valverde, Jose C.
Villanueva Micó, Rafael Jacinto|||0000-0002-0131-0532
author2_role author
author
author
dc.contributor.none.fl_str_mv Facultad de Administración y Dirección de Empresas
Departamento de Matemática Aplicada
Instituto Universitario de Matemática Multidisciplinar
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Nonlinear dynamical systems
Lyapunov functions and stability
Epidemiology
Simulation of models
MATEMATICA APLICADA
topic Nonlinear dynamical systems
Lyapunov functions and stability
Epidemiology
Simulation of models
MATEMATICA APLICADA
description In this paper, we analyze the Babesiosis transmission dynamics on bovine and tick populations. Ticks play a role of infec- tious agents and vector of the protozoan Babesia hemo-parasite. In this sense, we set out a mathematical model with constant size population for the evolution of the infected bovines with Babesiosis and analyze its qualitative dynamics. Statistical data are used to estimate some of the parameters of the model. Numerical simulations of the model varying the parameters show different scenarios about the spread of the disease
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-02-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/60964
url https://riunet.upv.es/handle/10251/60964
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación http://dx.doi.org/10.13039/501100004837 MTM2008-03679 ECUACIONES EN DIFERENCIAS Y DIFERENCIALES Y SERIES TEMPORALES: ASPECTOS PUROS Y APLICADOS DE LA DINAMICA NO LINEAL
Junta de Comunidades de Castilla-La Mancha http://dx.doi.org/10.13039/501100011698 PEII09-0184-7802 Análisis De Condiciones No Estándar De Bifurcación En Sistemas Dinámicos Y Su Aplicación A Modelos Experimentales.
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reserva de todos los derechos
http://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Wiley: 12 months
publisher.none.fl_str_mv Wiley: 12 months
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869404483975380992
score 15.301603

Similares en LA Referencia