TY  - JOUR
T1  - Development of Two-Serotype Dengue Model with Vaccination Impacts for
Predicting Transmission of Dengue in Thailand
AU - Chinviriyasit, Wirawan AU - Janreung, Sutawas 
JO  - Journal of Engineering and Applied Sciences
VL  - 14
IS  - 24
SP  - 9872
EP  - 9883
PY  - 2019
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2019.9872.9883
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2019.9872.9883
KW  - Backward bifurcation
KW  -dengue
KW  -secondary infection
KW  -two-serotype
KW  -vaccination
KW  -transmission
AB  - In this study, the Mathematical model of dengue disease with two serotype of standard incidence
rate is developed by taking in to account an impact of dengue vaccination, i.e., vaccination rate,
vaccine efficacy and vaccine wanes. The developed model named dengue-vaccine model is based on
Susceptible-Exposed-Infected-Recovered (SEIR) epidemic model paying attention to a latent period after
infection before becoming infectious. The mathematical analyze revealed that the model exhibit the phenomenon
of backward bifurcation where the stable diseases free equilibrium coexists with a stable endemic equilibrium.
And the backward bifurcation is removed when the disease-induced death rate is zero. To validate the
developed model, the real data of dengue outbreak in Thailand 2013 is employed to study and verify the model
efficiency. It shows that three vaccination parameters values of vaccination rate (ξ), vaccine efficacy (ε) and
waning rate of vaccine (ω), respectively are critically important in controlling the transmission of dengue with
two serotypes. The comparing results demonstrated that the predicted data produced by the developed
dengue-vaccine model fit well to the actual data. These demonstrated that the developed model can be used
as a suitable tool for predicting the dengue transmission in Thailand.
ER  -