I have three proposals:
1) to investigate the foraging behavior and food-site selection of stingless bees. I have initial data for this study. My goal is to describe the multistable behavior of bees using a mathematical model, that can be used for predicting their future behavior. Stingless bees are very useful for crop pollination. This study can be done in one to three years, in collaboration with the UPLB Bee Program.
2) to study the effect of the "less fit" in uplifting the society. In Social Darwinism, it is expected that the "fittest" "survives". However, the "less fit" are not becoming rare but rather are common in society, and oftentimes they provide the power of inspiration and motivation for the society to survive. My goal is to study the interaction, feedback loops and complexity of having "less fit" in our society. This study can be done in one to three years with a student working on mathematical social science.
3) to assess the "L-infinity strategy" in education and social development. L-infinity or MinMax strategy aims to minimize the maximum gaps between reality and the ideal situation. The strategy focuses on the most underprivileged, which implies uniformity and equity. My goal is to compare this strategy with other strategies (e.g., using L-1, L-2 and hybrid of the different strategies). I believe that choosing the measure of success dictates the strategy that we use, which affects the overall social outcome. This study can be done in 2-5 years with students working on mathematical social science.
Note: L-infinity strategy is used by our team for extension works, see http://jfratup.weebly.com/l-infinity---camp.html.