Modeling the Symbiotic Interactions Between Wolbachia and Insect Species
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
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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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:29462024-08-05T21:33:41.066206Repositório 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 |
|
_version_ |
1808129335605854208 |