R. Kongnuy. and P. Pongsumpun
Mathematical Modeling for Dengue Transmission with the Effect of Season
255 - 259
2011
5
3
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/218
https://publications.waset.org/vol/51
World Academy of Science, Engineering and Technology
Mathematical models can be used to describe the
transmission of disease. Dengue disease is the most significant
mosquitoborne 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.
Open Science Index 51, 2011