Vertical Transmission in a Two-Strain Model of Dengue Fever
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 modeling ideas of Ross and MacDonald, motivated by the context of the 2...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Intercollegiate Biomathematics Alliance
2014-01-01
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| Series: | Letters in Biomathematics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23737867.2014.11414484 |
| _version_ | 1818684530399117312 |
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| author | David Murillo Susan A. Holechek Anarina L. Murillo Fabio Sanchez Carlos Castillo-Chavez |
| author_facet | David Murillo Susan A. Holechek Anarina L. Murillo Fabio Sanchez Carlos Castillo-Chavez |
| author_sort | David Murillo |
| collection | DOAJ |
| description | 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 modeling 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 considers 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. |
| first_indexed | 2024-12-17T10:52:06Z |
| format | Article |
| id | doaj.art-2b79cbb3fa75400fb3ea08184d772981 |
| institution | Directory Open Access Journal |
| issn | 2373-7867 |
| language | English |
| last_indexed | 2024-12-17T10:52:06Z |
| publishDate | 2014-01-01 |
| publisher | Intercollegiate Biomathematics Alliance |
| record_format | Article |
| series | Letters in Biomathematics |
| spelling | doaj.art-2b79cbb3fa75400fb3ea08184d7729812022-12-21T21:51:56ZengIntercollegiate Biomathematics AllianceLetters in Biomathematics2373-78672014-01-011224927110.1080/23737867.2014.1141448411414484Vertical Transmission in a Two-Strain Model of Dengue FeverDavid Murillo0Susan A. Holechek1Anarina L. Murillo2Fabio Sanchez3Carlos Castillo-Chavez4Simon A. Levin Mathematical, Computational, and Modeling Sciences Center, Arizona State UniversitySimon A. Levin Mathematical, Computational, and Modeling Sciences Center, Arizona State UniversitySimon A. Levin Mathematical, Computational, and Modeling Sciences Center, Arizona State UniversitySimon A. Levin Mathematical, Computational, and Modeling Sciences Center, Arizona State UniversitySimon A. Levin Mathematical, Computational, and Modeling Sciences Center, Arizona State UniversityThe 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 modeling 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 considers 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.http://dx.doi.org/10.1080/23737867.2014.11414484vector-host modeldengueepidemiologyvertical transmissionPeru |
| spellingShingle | David Murillo Susan A. Holechek Anarina L. Murillo Fabio Sanchez Carlos Castillo-Chavez Vertical Transmission in a Two-Strain Model of Dengue Fever Letters in Biomathematics vector-host model dengue epidemiology vertical transmission Peru |
| title | Vertical Transmission in a Two-Strain Model of Dengue Fever |
| title_full | Vertical Transmission in a Two-Strain Model of Dengue Fever |
| title_fullStr | Vertical Transmission in a Two-Strain Model of Dengue Fever |
| title_full_unstemmed | Vertical Transmission in a Two-Strain Model of Dengue Fever |
| title_short | Vertical Transmission in a Two-Strain Model of Dengue Fever |
| title_sort | vertical transmission in a two strain model of dengue fever |
| topic | vector-host model dengue epidemiology vertical transmission Peru |
| url | http://dx.doi.org/10.1080/23737867.2014.11414484 |
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