Abstract: “Dengue" is an African word meaning “bone
breaking" because it causes severe joint and muscle pain that feels
like bones are breaking. It is an infectious disease mainly transmitted
by female mosquito, Aedes aegypti, and causes four serotypes of
dengue viruses. In recent years, a dramatic increase in the dengue
fever confirmed cases around the equator-s belt has been reported.
Several conventional indices have been designed so far to monitor the
transmitting vector populations known as House Index (HI),
Container Index (CI), Breteau Index (BI). However, none of them
describes the adult mosquito population size which is important to
direct and guide comprehensive control strategy operations since
number of infected people has a direct relationship with the vector
density. Therefore, it is crucial to know the population size of the
transmitting vector in order to design a suitable and effective control
program. In this context, a study is carried out to report a new
statistical index, ABURAS Index, using Poisson distribution based
on the collection of vector population in Jeddah Governorate, Saudi Arabia.
Abstract: Mathematical models can be used to describe the
transmission of disease. Dengue disease is the most significant
mosquito-borne viral disease of human. It now a leading cause of
childhood deaths and hospitalizations in many countries. Variations
in environmental conditions, especially seasonal climatic parameters,
effect to the transmission of dengue viruses the dengue viruses and
their principal mosquito vector, Aedes aegypti. A transmission model
for dengue disease is discussed in this paper. We assume that the
human and vector populations are constant. We showed that the local
stability is completely determined by the threshold parameter, 0 B . If
0 B is less than one, the disease free equilibrium state is stable. If
0 B is more than one, a unique endemic equilibrium state exists and
is stable. The numerical results are shown for the different values of
the transmission probability from vector to human populations.