dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | El Fatini, Mohamed | es |
dc.creator | Sekkak, Idriss | es |
dc.creator | Taki, Regragui | es |
dc.creator | Laaribi, Aziz | es |
dc.date.accessioned | 2021-02-01T13:01:06Z | |
dc.date.available | 2021-02-01T13:01:06Z | |
dc.date.issued | 2020-05-01 | |
dc.identifier.citation | Caraballo Garrido, T., El Fatini, M., Sekkak, I., Taki, R. y Laaribi, A. (2020). A STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 19 (5), 2513-1-2531-19. | |
dc.identifier.issn | 1534-0392 | es |
dc.identifier.uri | https://hdl.handle.net/11441/104391 | |
dc.description.abstract | In this paper, we study a stochastic epidemic model with isolation and nonlinear incidence. In particular, we propose a stochastic threshold for the model without any sharp su cient assumptions on model parameters as compared to existing works. Firstly, we establish the uniqueness of the global positive solution according to Lyapunov function method. Secondly, we prove stochastic permanence of the solutions. Then, we establish su cient condition for the extinction. Thirdly, we investigate necessary and su cient conditions for persistence in mean of the disease. Finally, we provide some numerical simulations to illustrate our theoretical results. | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.description.sponsorship | Unión Europea | es |
dc.description.sponsorship | Consejería de Innovación en Ciencia y Empresa, Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.format.extent | 19 p. | es |
dc.language.iso | eng | es |
dc.publisher | AIMS Press | es |
dc.relation.ispartof | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 19 (5), 2513-1-2531-19. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Epidemic model | es |
dc.subject | threshold | es |
dc.subject | stochastic process | es |
dc.subject | stochastic permanence | es |
dc.subject | extinction | es |
dc.subject | persistence in mean | es |
dc.title | A STOCHASTIC THRESHOLD FOR AN EPIDEMIC MODEL WITH ISOLATION AND A NON LINEAR INCIDENCE | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | PGC2018-096540-B-I00 | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.publisherversion | http://dx.doi.org/10.3934/cpaa.2020110 | es |
dc.identifier.doi | 10.3934/cpaa.2020110 | es |
dc.journaltitle | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | es |
dc.publication.volumen | 19 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 2513-1 | es |
dc.publication.endPage | 2531-19 | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.contributor.funder | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.contributor.funder | Consejería de Innovación en Ciencia y Empresa, Junta de Andalucía | es |