Vertical Transmission in a Two-Strain Model of Dengue Fever
| العنوان: | Vertical Transmission in a Two-Strain Model of Dengue Fever |
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| المؤلفون: | Murillo, David, Holechek, Susan A., Murillo, Anarina L., Sánchez Peña, Fabio Ariel, Castillo Chávez, Carlos |
| المصدر: | Letters in Biomathematics, Vol 1, Iss 2, Pp 249-271 (2014) Letters in Biomathematics, vol. 1(2), pp. 249-271 Kérwá Universidad de Costa Rica instacron:UCR |
| بيانات النشر: | Illinois State University, 2014. |
| سنة النشر: | 2014 |
| مصطلحات موضوعية: | Statistics and Probability, Modelo matemático, Transmisión vertical, Epidemiology, viruses, lcsh:Mathematics, Applied Mathematics, virus diseases, biochemical phenomena, metabolism, and nutrition, lcsh:QA1-939, dengue, Biochemistry, Genetics and Molecular Biology (miscellaneous), 616.921 Fiebre de dengue, Dengue, Matemática aplicada, lcsh:Biology (General), Modelos epidémicos, Peru, Vertical transmission, vector-host model, epidemiology, vertical transmission, Vector-host model, lcsh:QH301-705.5 |
| الوصف: | 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. National Institute of General Medical Sciences/[1R01GM100471-01]/NIH/Estados Unidos UCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemática UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemáticas Puras y Aplicadas (CIMPA) |
| تدمد: | 2373-7867 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9302f14d3340c75da5ec3f2c0c26e588 https://doi.org/10.30707/lib1.2murillo |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....9302f14d3340c75da5ec3f2c0c26e588 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 23737867 |
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