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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