Academic Journal
Solución Uniformemente Acotada y Estabilidad Asintótica del Punto Libre de Infección de un Modelo Matemático SI con Dinámica Vital (crecimiento logístico) mediante las Ecuaciones Diferenciales con Retardo
| Τίτλος: | Solución Uniformemente Acotada y Estabilidad Asintótica del Punto Libre de Infección de un Modelo Matemático SI con Dinámica Vital (crecimiento logístico) mediante las Ecuaciones Diferenciales con Retardo |
|---|---|
| Συγγραφείς: | Neisser Pino Romero, Christian Ulises Salazar Fernández, Roxana López Cruz |
| Πηγή: | Selecciones Matemáticas, Vol 6, Iss 1, Pp 66-76 (2019) |
| Στοιχεία εκδότη: | Universidad Nacional de Trujillo |
| Έτος έκδοσης: | 2019 |
| Συλλογή: | Directory of Open Access Journals: DOAJ Articles |
| Θεματικοί όροι: | Epidemiología Matemática, Ecuaciones Diferenciales Ordinarias, Ecuaciones Diferenciales con Retardo, Puntos Estacionarios, Estabilidad Local, Estabilidad Absoluta, Applied mathematics. Quantitative methods, T57-57.97, Mathematics, QA1-939 |
| Περιγραφή: | In the present work, the existence of Uniformly Bound Solutions of a SI Mathematical Model with vital dynamics, with logistic growth for the Susceptibles, developed by Delay Differential Equations is constructed, and the behavior of the solutions will be studied (qualitative analysis) for the Infection-Free Point where the necessary conditions for its asymptotic stability will be determined; and furthermore, that the Uniformly Bounded Solution of the Model tends to the steady state of the Infection-Free Point. In addition, it will be simulated computationally (approximate solutions) with initial populations and pidemiological rates of the model. The simulation will complement the qualitative analysis (behavior of solutions) to conclude trends of behaviors of the transmission of the disease over time. |
| Τύπος εγγράφου: | article in journal/newspaper |
| Γλώσσα: | English Spanish; Castilian Portuguese |
| Relation: | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2446; https://doaj.org/toc/2411-1783; https://doaj.org/article/ac4a5ba385344959abfb178ebc2ff0fc |
| DOI: | 10.17268/sel.mat.2019.01.09 |
| Διαθεσιμότητα: | https://doi.org/10.17268/sel.mat.2019.01.09 https://doaj.org/article/ac4a5ba385344959abfb178ebc2ff0fc |
| Αριθμός Καταχώρησης: | edsbas.A20D7313 |
| Βάση Δεδομένων: | BASE |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://doi.org/10.17268/sel.mat.2019.01.09# Name: EDS - BASE (ns324271) Category: fullText Text: View record from BASE |
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| Items | – Name: Title Label: Title Group: Ti Data: Solución Uniformemente Acotada y Estabilidad Asintótica del Punto Libre de Infección de un Modelo Matemático SI con Dinámica Vital (crecimiento logístico) mediante las Ecuaciones Diferenciales con Retardo – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Neisser+Pino+Romero%22">Neisser Pino Romero</searchLink><br /><searchLink fieldCode="AR" term="%22Christian+Ulises+Salazar+Fernández%22">Christian Ulises Salazar Fernández</searchLink><br /><searchLink fieldCode="AR" term="%22Roxana+López+Cruz%22">Roxana López Cruz</searchLink> – Name: TitleSource Label: Source Group: Src Data: Selecciones Matemáticas, Vol 6, Iss 1, Pp 66-76 (2019) – Name: Publisher Label: Publisher Information Group: PubInfo Data: Universidad Nacional de Trujillo – Name: DatePubCY Label: Publication Year Group: Date Data: 2019 – Name: Subset Label: Collection Group: HoldingsInfo Data: Directory of Open Access Journals: DOAJ Articles – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Epidemiología+Matemática%22">Epidemiología Matemática</searchLink><br /><searchLink fieldCode="DE" term="%22Ecuaciones+Diferenciales+Ordinarias%22">Ecuaciones Diferenciales Ordinarias</searchLink><br /><searchLink fieldCode="DE" term="%22Ecuaciones+Diferenciales+con+Retardo%22">Ecuaciones Diferenciales con Retardo</searchLink><br /><searchLink fieldCode="DE" term="%22Puntos+Estacionarios%22">Puntos Estacionarios</searchLink><br /><searchLink fieldCode="DE" term="%22Estabilidad+Local%22">Estabilidad Local</searchLink><br /><searchLink fieldCode="DE" term="%22Estabilidad+Absoluta%22">Estabilidad Absoluta</searchLink><br /><searchLink fieldCode="DE" term="%22Applied+mathematics%2E+Quantitative+methods%22">Applied mathematics. Quantitative methods</searchLink><br /><searchLink fieldCode="DE" term="%22T57-57%2E97%22">T57-57.97</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22QA1-939%22">QA1-939</searchLink> – Name: Abstract Label: Description Group: Ab Data: In the present work, the existence of Uniformly Bound Solutions of a SI Mathematical Model with vital dynamics, with logistic growth for the Susceptibles, developed by Delay Differential Equations is constructed, and the behavior of the solutions will be studied (qualitative analysis) for the Infection-Free Point where the necessary conditions for its asymptotic stability will be determined; and furthermore, that the Uniformly Bounded Solution of the Model tends to the steady state of the Infection-Free Point. In addition, it will be simulated computationally (approximate solutions) with initial populations and pidemiological rates of the model. The simulation will complement the qualitative analysis (behavior of solutions) to conclude trends of behaviors of the transmission of the disease over time. – Name: TypeDocument Label: Document Type Group: TypDoc Data: article in journal/newspaper – Name: Language Label: Language Group: Lang Data: English<br />Spanish; Castilian<br />Portuguese – Name: NoteTitleSource Label: Relation Group: SrcInfo Data: http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2446; https://doaj.org/toc/2411-1783; https://doaj.org/article/ac4a5ba385344959abfb178ebc2ff0fc – Name: DOI Label: DOI Group: ID Data: 10.17268/sel.mat.2019.01.09 – Name: URL Label: Availability Group: URL Data: https://doi.org/10.17268/sel.mat.2019.01.09<br />https://doaj.org/article/ac4a5ba385344959abfb178ebc2ff0fc – Name: AN Label: Accession Number Group: ID Data: edsbas.A20D7313 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.A20D7313 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.17268/sel.mat.2019.01.09 Languages: – Text: English – Text: Spanish; Castilian – Text: Portuguese Subjects: – SubjectFull: Epidemiología Matemática Type: general – SubjectFull: Ecuaciones Diferenciales Ordinarias Type: general – SubjectFull: Ecuaciones Diferenciales con Retardo Type: general – SubjectFull: Puntos Estacionarios Type: general – SubjectFull: Estabilidad Local Type: general – SubjectFull: Estabilidad Absoluta Type: general – SubjectFull: Applied mathematics. Quantitative methods Type: general – SubjectFull: T57-57.97 Type: general – SubjectFull: Mathematics Type: general – SubjectFull: QA1-939 Type: general Titles: – TitleFull: Solución Uniformemente Acotada y Estabilidad Asintótica del Punto Libre de Infección de un Modelo Matemático SI con Dinámica Vital (crecimiento logístico) mediante las Ecuaciones Diferenciales con Retardo Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Neisser Pino Romero – PersonEntity: Name: NameFull: Christian Ulises Salazar Fernández – PersonEntity: Name: NameFull: Roxana López Cruz IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2019 Identifiers: – Type: issn-locals Value: edsbas – Type: issn-locals Value: edsbas.oa Titles: – TitleFull: Selecciones Matemáticas Type: main |
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