Vertical Transmission in a Two-Strain Model of Dengue Fever
| dc.creator | Murillo, David | |
| dc.creator | Holechek, Susan A. | |
| dc.creator | Murillo, Anarina L. | |
| dc.creator | Sánchez Peña, Fabio Ariel | |
| dc.creator | Castillo Chávez, Carlos | |
| dc.date.accessioned | 2018-10-01T17:33:46Z | |
| dc.date.available | 2018-10-01T17:33:46Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | The role of vertical transmission in vectors has rarely been addressed in the study of dengue dynamics and control, in part because it was not considered a critical population-level factor. In this paper, we apply the pioneering model- ing ideas of Ross and MacDonald, motivated by the context of the 2000–2001 dengue outbreak in Peru, to assess the dynamics of multi-strain competition. An invading strain of dengue virus (DENV-2) from Asia rapidly circulated into Peru eventually displacing DENV-2 American. A host-dengue model that con- siders the competing dynamics of these two DENV-2 genotypes, the resident or the American type and the invasive more virulent Asian strain, is introduced and analyzed. The model incorporates vertical transmission by DENV-2 Asian a potentially advantageous trait. Conditions for competitive exclusion of dengue strains are established. The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission. | es |
| dc.description.procedence | UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática | es |
| dc.description.procedence | UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA) | es |
| dc.description.sponsorship | National Institute of General Medical Sciences/[1R01GM100471-01]/NIH/Estados Unidos | es |
| dc.identifier.citation | https://www.tandfonline.com/doi/abs/10.1080/23737867.2014.11414484 | |
| dc.identifier.doi | https://doi.org/10.1080/23737867.2014.11414484 | |
| dc.identifier.issn | 2373-7867 | |
| dc.identifier.uri | https://hdl.handle.net/10669/75903 | |
| dc.language.iso | en_US | |
| dc.rights | acceso embargado | |
| dc.source | Letters in Biomathematics, vol. 1(2), pp. 249-271 | es |
| dc.subject | Modelo matemático | es |
| dc.subject | Modelos epidémicos | es |
| dc.subject | Matemática aplicada | es |
| dc.subject | Dengue | es |
| dc.subject | Transmisión vertical | es |
| dc.subject | Vector-host model | es |
| dc.subject | Epidemiology | es |
| dc.subject | Vertical transmission | es |
| dc.subject | Peru | es |
| dc.subject | 616.921 Fiebre de dengue | es |
| dc.title | Vertical Transmission in a Two-Strain Model of Dengue Fever | es |
| dc.type | artículo original |