I am interested in how environmental changes influence populations and communities through nonstationary dynamics and regime shifts. Much of my research focuses on modeling polar ecology in the context of Arctic climate change, and the ecology of Great Salt Lake, which is currently shrinking due to a combination of climatic change and local water use policies. Mathematically, this research weaves together dynamical systems, optimal control theory, uncertainty quantification, and statistical approaches to model-data integration.
Regime shifts and early-warning signals Environmental flow requirements Modeling biocontrol and integrated pest management Species distribution and trophic interactions in streams and rivers Spatial population models for conservation biology Chaos control methods for stabilizing fluctuating populations Epidemiological modeling: the complexity of wildlife diseases Microplastics in the environment Modeling the fate and behavior of chemical substances in surface waters
Jimmy Garnier
CNRS Junior Researcher University Savoie Mont-Blanc
My research bridges applied mathematics and theoretical ecology. I develop and analyze mathematical model based on Partial Differential Equations (PDE), integro-differential equations or stochastic processes, to provide insights on ecological and evolutionary issues. My main objective is to understand how species can adapt to a changing environment.