Abstract:
Dengue is a viral illness caused by infection with one of four dengue viruses known as dengue 1, 2, 3
and 4. In this paper we develop a deterministic mathematical model for dengue fever with vertical transmission
in female aedes aegypti mosquitoes. The basic reproduction for the model is computed. Sensitivity analysis of
the basic reproduction number for the model indicates a direct relationship between basic reproduction number
and vertical transmission rate. To reduce or eradicate dengue fever in the community, public health workers
should focus on an intervention that destroys most of the aedes aegypti mosquitoes and their eggs. Moreover,
numerical simulation shows that, the spread of dengue fever is very fast and therefore needs precautions and
immediate and serious attention after epidemic.
