Modeling the Symbiotic Interactions Between Wolbachia and Insect Species

Detalhes bibliográficos
Autor(a) principal: Donnarumma, Davide
Data de Publicação: 2022
Outros Autores: Pio Ferreira, Claudia [UNESP], Venturino, Ezio
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/978-3-030-99792-2_63
http://hdl.handle.net/11449/246283
Resumo: A sex-structured mathematical model is proposed to address the interactions among Wolbachia and Aedes mosquitoes. Several features associated with the infection that impacts mosquito phenotype like the cytoplasmic incompatibility, sex ratio biased to females, and maternal inheritance are considered. The analysis of the model shows the presence of three equilibria: the infection-free point, which is attainable only for a narrow range of initial conditions, the point where all individuals are infected, which however arises only in a very particular situation, namely the full vertical transmission of the bacterium, and the endemic equilibrium. Thresholds for the stability of the coexistence equilibrium are obtained, and they involve a relation among parameters and the initial prevalence of the infected mosquito in the population. As expected, increasing the sex ratio biased to females promotes the fixation of the infection on the population at high values.
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spelling Modeling the Symbiotic Interactions Between Wolbachia and Insect SpeciesOrdinary differential equationsStability analysisThresholdsA sex-structured mathematical model is proposed to address the interactions among Wolbachia and Aedes mosquitoes. Several features associated with the infection that impacts mosquito phenotype like the cytoplasmic incompatibility, sex ratio biased to females, and maternal inheritance are considered. The analysis of the model shows the presence of three equilibria: the infection-free point, which is attainable only for a narrow range of initial conditions, the point where all individuals are infected, which however arises only in a very particular situation, namely the full vertical transmission of the bacterium, and the endemic equilibrium. Thresholds for the stability of the coexistence equilibrium are obtained, and they involve a relation among parameters and the initial prevalence of the infected mosquito in the population. As expected, increasing the sex ratio biased to females promotes the fixation of the infection on the population at high values.Università di TorinoSão Paulo State University (UNESP)São Paulo State University (UNESP)Università di TorinoUniversidade Estadual Paulista (UNESP)Donnarumma, DavidePio Ferreira, Claudia [UNESP]Venturino, Ezio2023-07-29T12:36:39Z2023-07-29T12:36:39Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject741-760http://dx.doi.org/10.1007/978-3-030-99792-2_63Springer Proceedings in Complexity, p. 741-760.2213-86922213-8684http://hdl.handle.net/11449/24628310.1007/978-3-030-99792-2_632-s2.0-85141788074Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSpringer Proceedings in Complexityinfo:eu-repo/semantics/openAccess2023-07-29T12:36:39Zoai:repositorio.unesp.br:11449/246283Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T12:36:39Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
title Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
spellingShingle Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
Donnarumma, Davide
Ordinary differential equations
Stability analysis
Thresholds
title_short Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
title_full Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
title_fullStr Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
title_full_unstemmed Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
title_sort Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
author Donnarumma, Davide
author_facet Donnarumma, Davide
Pio Ferreira, Claudia [UNESP]
Venturino, Ezio
author_role author
author2 Pio Ferreira, Claudia [UNESP]
Venturino, Ezio
author2_role author
author
dc.contributor.none.fl_str_mv Università di Torino
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Donnarumma, Davide
Pio Ferreira, Claudia [UNESP]
Venturino, Ezio
dc.subject.por.fl_str_mv Ordinary differential equations
Stability analysis
Thresholds
topic Ordinary differential equations
Stability analysis
Thresholds
description A sex-structured mathematical model is proposed to address the interactions among Wolbachia and Aedes mosquitoes. Several features associated with the infection that impacts mosquito phenotype like the cytoplasmic incompatibility, sex ratio biased to females, and maternal inheritance are considered. The analysis of the model shows the presence of three equilibria: the infection-free point, which is attainable only for a narrow range of initial conditions, the point where all individuals are infected, which however arises only in a very particular situation, namely the full vertical transmission of the bacterium, and the endemic equilibrium. Thresholds for the stability of the coexistence equilibrium are obtained, and they involve a relation among parameters and the initial prevalence of the infected mosquito in the population. As expected, increasing the sex ratio biased to females promotes the fixation of the infection on the population at high values.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
2023-07-29T12:36:39Z
2023-07-29T12:36:39Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/978-3-030-99792-2_63
Springer Proceedings in Complexity, p. 741-760.
2213-8692
2213-8684
http://hdl.handle.net/11449/246283
10.1007/978-3-030-99792-2_63
2-s2.0-85141788074
url http://dx.doi.org/10.1007/978-3-030-99792-2_63
http://hdl.handle.net/11449/246283
identifier_str_mv Springer Proceedings in Complexity, p. 741-760.
2213-8692
2213-8684
10.1007/978-3-030-99792-2_63
2-s2.0-85141788074
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Springer Proceedings in Complexity
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 741-760
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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