# Mathematical Modelling

**Please note:** This is an LUC track, not a Leiden University minor programme.

The Mathematical Modeling track provides students with quantitative skills to develop complex mathematical models to examine dynamical systems. Students will consider discrete time (recurrence relations) as well as continuous time (differential equations) systems, deterministic systems as well as effects of randomness, and effects of external input on system dynamics. Besides mathematical analysis, students will learn to perform numerical analyses of model dynamics by means of the R programming language. With respect to specific applications, the emphasis will be on global challenges, such as natural population dynamics, human interactions (game theory), toxicology, and population genetics. Each course in this track will start with relatively simple models and their main results, then generalise to more complex models and dynamics. Other subjects considered are complex social systems, evolution and development of ecosystems, and causes and effects of biodiversity in ecosystems.