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Courses - Fall 2022
Applied Mathematics & Scientific Computation Department Site
Mathematical Population Biology
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: Calculus, differential equations, modeling, linear algebra, familiarity with mathematical software and programming languages (e.g., MATLAB, R, Python etc.); or permission of instructor.
Cross-listed with: BIOL721.
Credit only granted for: AMSC721 or BIOL721.
Additional information: Open to advanced undergraduates by permission of instructor.
Foundational principles for modeling and analysis of real-life phenomena in population biology. Topics include design and analysis of models for general classes of unstructured (single species discrete-time and continuous-time, interacting populations etc.) and structured (spatially-structured, age- structured, sex-structured) population biology models in ecology and epidemiology, dynamics analysis of population biology models (asymptotic stability and bifurcation theory), numerical discretization of continuous-time models, statistical analysis (parameter estimation, uncertainty quantification).