1. Evolutionary decision games in complex biological interactions at the edge of catastrophe
Sample 10-minute research proposal presentation by
Jomar Fajardo Rabajante, Dr.Sc.
Institute of Mathematical Sciences and Physics, UPLB

2. Biotic
interactions

3. Abiotic
factors

4. Catastrophe

5. Evolution or adaptation

6. RESEARCH PROBLEM
What are the optimal strategies for controlling the evolutionary outcomes of species in order for populations to avoid or recover from catastrophes?

7. Mathematical
modeling

8. Species interactions + environmental noise
Evolutionary
decision games
Species interactions + environmental noise

9. Evolutionary decision games
Difference or Differential Equations
Species interactions + environmental noise

10. Optimal strategies

11. Optimal strategies
Population sizes of different species with various types: xi, yj, zk
Growth functions: fi, gj, hk
Trait parameter set: Ai, Bj, Ck
Evolution functions of the trait parameters: 𝝀 𝑨 , 𝝀 𝑩 , 𝝀 𝑪
Environmental noise function: 𝚽, 𝛀

12. RESEARCH OBJECTIVES
We aim to formulate theoretical strategies to drive the evolution or adaptation of populations in complex ecological systems away from the edge of catastrophe as influenced by species interactions and environmental perturbations.

13. RESEARCH OBJECTIVES
Specifically, we aim to
Develop mathematical models to simulate the evolutionary dynamics of species given different decision game rules or objective/utility functions under competitive, exploitative and cooperative interactions

14. RESEARCH OBJECTIVES
Search for and analyze the novel patterns characterizing the survival, diversity and extinction of species

15. RESEARCH OBJECTIVES
Formulate optimal/satisficing control strategies to minimize the risk of catastrophic collapse of population and if possible, to enhance resilience

16. RESEARCH OBJECTIVES
Evaluate the different evolutionary outcomes resulting from the different survival strategies or risk-spreading strategies using different measures (e.g., p-norm)

17. RESEARCH PLAN
18 months

18. RESEARCH PLAN
PhP 355,000++

19. RESEARCH PLAN
Computer equipment

20. RESEARCH PLAN
Meet collaborators

21. Simulation and presentation
RESEARCH PLAN
Simulation and presentation

22. Output: ISI-indexed publication
RESEARCH PLAN
Output: ISI-indexed publication

23. About the proponent

24. About the proponent Trainings in relation to the proposed topic:
BS Applied Mathematics (UPLB, 2006) focusing on Operations Research;
MS Applied Mathematics (UP Diliman, 2012) and Doctor of Science (Shizuoka University Japan, 2016) focusing on Mathematical Biology/Complex Systems;
Research school on Optimization/Operations Research (NICTA Australia); Research school on Evolutionary Biology (DI Seattle USA); Research schools on Complex Systems Biology (Ohio State University USA and ICTP Italy).

25. About the proponent

26. About the proponent

27. References
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Important references of the proposal (max 10 references)
Citations for the photos used

28. Evolutionary decision games in complex biological interactions at the edge of catastrophe
Sample 10-minute research proposal presentation by
Jomar Fajardo Rabajante, Dr.Sc.
Institute of Mathematical Sciences and Physics, UPLB