Special Session 42: 

Development and applications of an optimization method to detect neighbor equilibria of a trajectory for Lotka-Volterra systems

Shinji Nakaoka
JST PRESTO, The University of Tokyo
Japan
Co-Author(s):    Shinji Nakaoka
Abstract:
In this study, we construct a generalized Lotka-Volterra system, a mathematical model describing population dynamics of living organisms, to describe dynamics of compositional change in a bacterial community. An optimization method in combination with numerical integration of differential equations is newly proposed in order to detect neighbor equilibria of a trajectory which can be an indicator of compositional change in a bacterial community. The method will be applied to demonstrate the ability to extract predisposing factors of allergic disorders from real datasets.