Special Session 20: Stochastic analysis, inverse problems and related topics

Inverse problems in population models

Catharine WK Lo
City University of Hong Kong
Hong Kong
Co-Author(s):    Yuhan Li, Hongyu Liu
Abstract:
I will discuss several recent works focusing on inverse problems in population ecological models, such as Lotka-Volterra models, chemotaxis models, and aggregation models. These works delve into the unique identifiability of multiple parameters in these models, including interaction terms, compression, prey attack, crowding, carrying capacity, diffusion coefficients, environmental factors such as gravitational potential and the oxygen carrying-capacity. These studies contribute unique insights and novel methodologies to advance the understanding of inverse problems for complex systems across diverse scientific disciplines.