Influence of vertical and mechanical transmission on the dynamics of dengue disease.
We formulate a non-linear system of differential equations that models the dynamics of transmission of dengue fever. We consider vertical and mechanical transmission in the vector population, and study the effects that they have on the dynamics of the disease. A qualitative analysis as well as some numerical examples are given for the model.
Esteva
L
L
Departamento de Matemáticas, Facultad de Ciencias, UNAM, D.F. 04510, México, Mexico. lesteva@servidor.unam.mx
Vargas
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D000330:Aedes / Q000821:virology; D000818:Animals; D003715:Dengue / Q000453:epidemiology / Q000635:transmission*; D003716:Dengue Virus; D005260:Female; D006801:Humans; D018445:Infectious Disease Transmission, Vertical; D007303:Insect Vectors; D008433:Mathematics; D008954:Models, Biological; D010063:Ovum / Q000821:virology