Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method

Autores
Mesk, Mohammed; Mahdjoub, Tewfik; Gourbière, Sébastien; Rabinovich, Jorge Eduardo; Menu, Frédéric
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Demographic processes and spatial dispersal of Triatoma dimidiata, a triatomine species vector of Chagas disease, are modeled by integrodifference equations to estimate invasion capacity of this species under different ecological conditions. The application of the theory of orthogonal polynomials and the steepest descent method applied to these equations, allow a good approximation of the abundance of the adult female population and the invasion speed. We show that: (1) under the same mean conditions of demography and dispersal, periodic spatial dispersal results in an invasion speed 2.5 times larger than the invasion speed when spatial dispersal is continuous; (2) when the invasion speed of periodic spatial dispersal is correlated to adverse demographic conditions, it is 34.7% higher as compared to a periodic dispersal that is correlated to good demographic conditions. From our results we conclude, in terms of triatomine population control, that the invasive success of T. dimidiata may be most sensitive to the probability of transition from juvenile to adult stage. We discuss our main theoretical predictions in the light of observed data in different triatomines species found in the literature.
Fil: Mesk, Mohammed. Universidad de Tlemcen; Argelia
Fil: Mahdjoub, Tewfik. Universidad de Tlemcen; Argelia
Fil: Gourbière, Sébastien. Université de Perpignan Via Domitia; Francia
Fil: Rabinovich, Jorge Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Estudios Parasitológicos y de Vectores. Universidad Nacional de La Plata. Facultad de Ciencias Naturales y Museo. Centro de Estudios Parasitológicos y de Vectores; Argentina
Fil: Menu, Frédéric. Université Claude Bernard Lyon 1; Francia. Centre National de la Recherche Scientifique; Francia
Materia
Chebyshev Polynomials
Dispersal
Integrodifference Equations
Saddle-Point Approximation
Triatomines
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/49108
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/49108
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials methodMesk, MohammedMahdjoub, TewfikGourbière, SébastienRabinovich, Jorge EduardoMenu, FrédéricChebyshev PolynomialsDispersalIntegrodifference EquationsSaddle-Point ApproximationTriatomineshttps://purl.org/becyt/ford/1.6https://purl.org/becyt/ford/1Demographic processes and spatial dispersal of Triatoma dimidiata, a triatomine species vector of Chagas disease, are modeled by integrodifference equations to estimate invasion capacity of this species under different ecological conditions. The application of the theory of orthogonal polynomials and the steepest descent method applied to these equations, allow a good approximation of the abundance of the adult female population and the invasion speed. We show that: (1) under the same mean conditions of demography and dispersal, periodic spatial dispersal results in an invasion speed 2.5 times larger than the invasion speed when spatial dispersal is continuous; (2) when the invasion speed of periodic spatial dispersal is correlated to adverse demographic conditions, it is 34.7% higher as compared to a periodic dispersal that is correlated to good demographic conditions. From our results we conclude, in terms of triatomine population control, that the invasive success of T. dimidiata may be most sensitive to the probability of transition from juvenile to adult stage. We discuss our main theoretical predictions in the light of observed data in different triatomines species found in the literature.Fil: Mesk, Mohammed. Universidad de Tlemcen; ArgeliaFil: Mahdjoub, Tewfik. Universidad de Tlemcen; ArgeliaFil: Gourbière, Sébastien. Université de Perpignan Via Domitia; FranciaFil: Rabinovich, Jorge Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Estudios Parasitológicos y de Vectores. Universidad Nacional de La Plata. Facultad de Ciencias Naturales y Museo. Centro de Estudios Parasitológicos y de Vectores; ArgentinaFil: Menu, Frédéric. Université Claude Bernard Lyon 1; Francia. Centre National de la Recherche Scientifique; FranciaAcademic Press Ltd - Elsevier Science Ltd2016-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/49108Mesk, Mohammed; Mahdjoub, Tewfik; Gourbière, Sébastien; Rabinovich, Jorge Eduardo; Menu, Frédéric; Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method; Academic Press Ltd - Elsevier Science Ltd; Journal of Theoretical Biology; 395; 4-2016; 126-1430022-5193CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jtbi.2016.01.017info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022519316000503info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:34Zoai:ri.conicet.gov.ar:11336/49108instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:39:34.607CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
title Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
spellingShingle Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
Mesk, Mohammed
Chebyshev Polynomials
Dispersal
Integrodifference Equations
Saddle-Point Approximation
Triatomines
title_short Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
title_full Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
title_fullStr Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
title_full_unstemmed Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
title_sort Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method
dc.creator.none.fl_str_mv Mesk, Mohammed
Mahdjoub, Tewfik
Gourbière, Sébastien
Rabinovich, Jorge Eduardo
Menu, Frédéric
author Mesk, Mohammed
author_facet Mesk, Mohammed
Mahdjoub, Tewfik
Gourbière, Sébastien
Rabinovich, Jorge Eduardo
Menu, Frédéric
author_role author
author2 Mahdjoub, Tewfik
Gourbière, Sébastien
Rabinovich, Jorge Eduardo
Menu, Frédéric
author2_role author
author
author
author
dc.subject.none.fl_str_mv Chebyshev Polynomials
Dispersal
Integrodifference Equations
Saddle-Point Approximation
Triatomines
topic Chebyshev Polynomials
Dispersal
Integrodifference Equations
Saddle-Point Approximation
Triatomines
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.6
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Demographic processes and spatial dispersal of Triatoma dimidiata, a triatomine species vector of Chagas disease, are modeled by integrodifference equations to estimate invasion capacity of this species under different ecological conditions. The application of the theory of orthogonal polynomials and the steepest descent method applied to these equations, allow a good approximation of the abundance of the adult female population and the invasion speed. We show that: (1) under the same mean conditions of demography and dispersal, periodic spatial dispersal results in an invasion speed 2.5 times larger than the invasion speed when spatial dispersal is continuous; (2) when the invasion speed of periodic spatial dispersal is correlated to adverse demographic conditions, it is 34.7% higher as compared to a periodic dispersal that is correlated to good demographic conditions. From our results we conclude, in terms of triatomine population control, that the invasive success of T. dimidiata may be most sensitive to the probability of transition from juvenile to adult stage. We discuss our main theoretical predictions in the light of observed data in different triatomines species found in the literature.
Fil: Mesk, Mohammed. Universidad de Tlemcen; Argelia
Fil: Mahdjoub, Tewfik. Universidad de Tlemcen; Argelia
Fil: Gourbière, Sébastien. Université de Perpignan Via Domitia; Francia
Fil: Rabinovich, Jorge Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Centro de Estudios Parasitológicos y de Vectores. Universidad Nacional de La Plata. Facultad de Ciencias Naturales y Museo. Centro de Estudios Parasitológicos y de Vectores; Argentina
Fil: Menu, Frédéric. Université Claude Bernard Lyon 1; Francia. Centre National de la Recherche Scientifique; Francia
description Demographic processes and spatial dispersal of Triatoma dimidiata, a triatomine species vector of Chagas disease, are modeled by integrodifference equations to estimate invasion capacity of this species under different ecological conditions. The application of the theory of orthogonal polynomials and the steepest descent method applied to these equations, allow a good approximation of the abundance of the adult female population and the invasion speed. We show that: (1) under the same mean conditions of demography and dispersal, periodic spatial dispersal results in an invasion speed 2.5 times larger than the invasion speed when spatial dispersal is continuous; (2) when the invasion speed of periodic spatial dispersal is correlated to adverse demographic conditions, it is 34.7% higher as compared to a periodic dispersal that is correlated to good demographic conditions. From our results we conclude, in terms of triatomine population control, that the invasive success of T. dimidiata may be most sensitive to the probability of transition from juvenile to adult stage. We discuss our main theoretical predictions in the light of observed data in different triatomines species found in the literature.
publishDate 2016
dc.date.none.fl_str_mv 2016-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/49108
Mesk, Mohammed; Mahdjoub, Tewfik; Gourbière, Sébastien; Rabinovich, Jorge Eduardo; Menu, Frédéric; Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method; Academic Press Ltd - Elsevier Science Ltd; Journal of Theoretical Biology; 395; 4-2016; 126-143
0022-5193
CONICET Digital
CONICET
url http://hdl.handle.net/11336/49108
identifier_str_mv Mesk, Mohammed; Mahdjoub, Tewfik; Gourbière, Sébastien; Rabinovich, Jorge Eduardo; Menu, Frédéric; Invasion speeds of Triatoma dimidiata, vector of Chagas disease: An application of orthogonal polynomials method; Academic Press Ltd - Elsevier Science Ltd; Journal of Theoretical Biology; 395; 4-2016; 126-143
0022-5193
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jtbi.2016.01.017
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022519316000503
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Ltd - Elsevier Science Ltd
publisher.none.fl_str_mv Academic Press Ltd - Elsevier Science Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613252678418432
score 13.070432

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