Ursula Trigos-Raczkowski

Postdoctoral Researcher
Applied Mathematics

205A Maxim Doucet Hall
ursula.trigos-raczkowski@louisiana.edu

Ph.D. Applied Mathematics 2023 University of Michigan, Ann Arbor
M.S. Applied Mathematics 2018 University of Michigan, Ann Arbor
B.S. Mathematics 2016 California State University Bakersfield

My research interests lie in the development and application of biomathematical models to explore population dynamics across diverse ecosystems. I employ a range of mathematical techniques, including partial differential equations, dynamical systems theory, stability analyses, and perturbation theory, to examine these complex systems. Although my work traditionally emphasizes theoretical and analytical approaches, I have recently integrated numerical simulations to enhance the robustness of my models. A significant portion of my research focuses on continuous structured population models, where individuals are categorized based on characteristics like age within a specific patch or body size. I am also expanding into discrete systems, which offers new perspectives on population dynamics. These models provide insights into the mechanisms driving competitive coexistence, the impact of competition on community structure and diversity, and the implications of biological trade-offs for understanding species interactions. While the methodologies I employ are broadly applicable, my current research is specifically directed towards understanding tropical forests, with a focus on the complex dynamics within tropical tree systems which have applications to the climate crisis.