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Transcript
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
Biotic
interactions
Abiotic
factors
Catastrophe
Evolution or
adaptation
RESEARCH PROBLEM
What are the optimal strategies for
controlling the evolutionary outcomes
of species in order for populations to
avoid or recover from catastrophes?
Mathematical
modeling
Evolutionary
decision games
Species interactions +
environmental noise
Evolutionary
decision games
Species interactions +
environmental noise
Difference or Differential
Equations
Optimal strategies
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: 𝝀𝑨 , 𝝀𝑩 , 𝝀𝑪
Environmental noise function:
𝚽, 𝛀
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.
RESEARCH OBJECTIVES
Specifically, we aim to
1. 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
RESEARCH OBJECTIVES
2. Search for and analyze the novel
patterns characterizing the survival,
diversity and extinction of species
RESEARCH OBJECTIVES
3. Formulate optimal/satisficing control
strategies to minimize the risk of
catastrophic collapse of population
and if possible, to enhance resilience
RESEARCH OBJECTIVES
4. Evaluate the different evolutionary
outcomes resulting from the different
survival strategies or risk-spreading
strategies using different measures
(e.g., p-norm)
RESEARCH PLAN
18 months
Activity/Month
Order equipment
Visit collaborators
Weekly discussions &
mentoring
Modeling & simulation
implementation
Writing reports &
paper
Public exhibition &
presentations
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18
RESEARCH PLAN
PhP 355,000++
Activity/Month
Order equipment
Visit collaborators
Weekly discussions &
mentoring
Modeling & simulation
implementation
Writing reports &
paper
Public exhibition &
presentations
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18
RESEARCH PLAN
Computer equipment
Activity/Month
Order equipment
Visit collaborators
Weekly discussions &
mentoring
Modeling & simulation
implementation
Writing reports &
paper
Public exhibition &
presentations
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18
RESEARCH PLAN
Meet collaborators
Activity/Month
Order equipment
Visit collaborators
Weekly discussions &
mentoring
Modeling & simulation
implementation
Writing reports &
paper
Public exhibition &
presentations
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18
RESEARCH PLAN
Simulation and presentation
Activity/Month
Order equipment
Visit collaborators
Weekly discussions &
mentoring
Modeling & simulation
implementation
Writing reports &
paper
Public exhibition &
presentations
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16 17 18
RESEARCH PLAN
Output: ISI-indexed
Activity/Month
Order equipment
Visit collaborators
Weekly discussions &
mentoring
Modeling & simulation
implementation
Writing reports &
paper
Public exhibition &
presentations
1
2
3
4
5
6
7
8
publication
9
10 11 12 13 14 15 16 17 18
About the proponent
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).
About the proponent
About the proponent
References
Add here
 Important references of the proposal (max 10 references)
 Citations for the photos used
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