Abstracts
1. Dog Vaccinations and Quarantine: A Mathematical Approach on Rabies
Presenters: Vince Campo and John Palacios
The talk presents a model of the spread of the deadly disease rabies. Using data based
in China, the employed mathematical model describes the dynamics of the disease and
proposes a model to help better understand how the disease is spread. By utilizing
game theory the talk offers a strategy for individual dog owners on separate methods of
battling rabies, including vaccine and quarantine.
2. Evaluating Typhoon Haiyan’s Performance and Identifying Storm Surge Prone
Areas in Key Locations Across the Philippines Using Advanced Circulation
(ADCIRC) Model
Presenter: Nilo Espinoza
Typhoon Haiyan (2013) was one of the most catastrophic natural disasters on record in
the Philipines. The Advanced Circulation (ADCIRC) numerical model is used to hindcast
and evaluate Typhoon Haiyan. Three synthetic typhoons are created to identify storm
surge prone areas. Results from the simulations showed the relationship between
Typhoon Haiyan’s characteristics in the generation of storm surge. This research is
intended to assess the performance of ADCIRC to be used in predicting storm surge
from typhoons in the future.
3. Evaluating the Cost of Crowdsourced Computer Vision Data
Presenter: Gabrielle Aguilar
Analyzing the trade-off between informative data and the higher costs of crowdsourcing.
4. Analyzing Rota virus Vaccination using Game Theory
Presenters: Jacob Aquiningoc, Robert Babac, and Jayson Morales
Rotavirus is a highly contagious virus that causes severe diarrhea in young children and
is spread through the fecal-oral route. Two vaccines, Rotarix (RV1) and a neonatal
vaccine (RV3-BB) have been shown to be effective in decreasing the occurrence of
severe gastroenteritis disease. We analyze the transmission of rotavirus through a
mathematical model and construct a game theoretical model to determine the optimal
vaccination policy.
5. Digital “entropy” as an invariant under a refinement ofthe partition of the interval
Presenter: Dr. Yoshifumi Takenouchi
Dynamical systems are investigated through a mapping of an interval to itself. Repeatedly
applying the mapping, we obtain a dynamical system described by a piecewise linear map,
a corresponding permutation and an induced directed graph. By the characteristic polynomial
of the adjacency matrix a ternary number called digital“entropy” is defined. The talk will focus
on what happens when the partition of the interval is refined. It is proved that the digital
“entropy” remains invariant! Further results will be outlined. The talk will give the audience a
unique insight into dynamical systems from one of the experts!