On the dynamics of dengue virus type 2 with residence times and vertical transmission
A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors’ vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic reproduction number is derived and conditions under w...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Intercollegiate Biomathematics Alliance
2016-01-01
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| Series: | Letters in Biomathematics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/23737867.2016.1212678 |
| _version_ | 1818291255305568256 |
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| author | Derdei Bichara Susan A. Holechek Jorge Velázquez-Castro Anarina L. Murillo Carlos Castillo-Chavez |
| author_facet | Derdei Bichara Susan A. Holechek Jorge Velázquez-Castro Anarina L. Murillo Carlos Castillo-Chavez |
| author_sort | Derdei Bichara |
| collection | DOAJ |
| description | A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors’ vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic reproduction number is derived and conditions under which the disease dies out or persists are established. Analytical and numerical results highlight the role of hosts’ dispersal in mitigating or exacerbating disease dynamics. The framework is used to explore dengue dynamics using, as a starting point, the 2002 outbreak in the state of Colima, Mexico. |
| first_indexed | 2024-12-13T02:41:09Z |
| format | Article |
| id | doaj.art-f3d304a05c704fd5b9b932de298b2590 |
| institution | Directory Open Access Journal |
| issn | 2373-7867 |
| language | English |
| last_indexed | 2024-12-13T02:41:09Z |
| publishDate | 2016-01-01 |
| publisher | Intercollegiate Biomathematics Alliance |
| record_format | Article |
| series | Letters in Biomathematics |
| spelling | doaj.art-f3d304a05c704fd5b9b932de298b25902022-12-22T00:02:18ZengIntercollegiate Biomathematics AllianceLetters in Biomathematics2373-78672016-01-013114016010.1080/23737867.2016.12126781212678On the dynamics of dengue virus type 2 with residence times and vertical transmissionDerdei Bichara0Susan A. Holechek1Jorge Velázquez-Castro2Anarina L. Murillo3Carlos Castillo-Chavez4Arizona State UniversityArizona State UniversityUniversidad Autónoma de PueblaArizona State UniversityArizona State UniversityA two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors’ vertical transmission and between patches human dispersal is introduced. Dispersal is modelled via a Lagrangian approach. A host-patch residence-times basic reproduction number is derived and conditions under which the disease dies out or persists are established. Analytical and numerical results highlight the role of hosts’ dispersal in mitigating or exacerbating disease dynamics. The framework is used to explore dengue dynamics using, as a starting point, the 2002 outbreak in the state of Colima, Mexico.http://dx.doi.org/10.1080/23737867.2016.1212678Vector-borne diseasesDENV-2 Asian genotypedengueresidence timesmulti-patch modelglobal stability |
| spellingShingle | Derdei Bichara Susan A. Holechek Jorge Velázquez-Castro Anarina L. Murillo Carlos Castillo-Chavez On the dynamics of dengue virus type 2 with residence times and vertical transmission Letters in Biomathematics Vector-borne diseases DENV-2 Asian genotype dengue residence times multi-patch model global stability |
| title | On the dynamics of dengue virus type 2 with residence times and vertical transmission |
| title_full | On the dynamics of dengue virus type 2 with residence times and vertical transmission |
| title_fullStr | On the dynamics of dengue virus type 2 with residence times and vertical transmission |
| title_full_unstemmed | On the dynamics of dengue virus type 2 with residence times and vertical transmission |
| title_short | On the dynamics of dengue virus type 2 with residence times and vertical transmission |
| title_sort | on the dynamics of dengue virus type 2 with residence times and vertical transmission |
| topic | Vector-borne diseases DENV-2 Asian genotype dengue residence times multi-patch model global stability |
| url | http://dx.doi.org/10.1080/23737867.2016.1212678 |
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