MATH 8505 - Advanced Mathematical Biology

3 Credit Hours
Prerequisites: Grade of C or higher in MATH 6010 (BIOL 6930) or MATH 6275 or MATH 8510, or with permission from the instructor.
Description
Crosslisted with NEUR 8395 and Biol 8505. This graduate level course extends mathematical methods and models of biological systems, covered in MATH 4010/6010 (BIOL 6930) “Mathematical Biology “. The main focus will be on multidimensional and spatial models of biological systems. The topics will include the dispersal of biological populations and age structure on population growth; rates of spread of invading organisms and population persistence; branching random walks and chain reactions; stochastic and Markov models of biological systems; cellular automata models with deterministic and stochastic rules, related to the infectious disease transmission and control; the Game of Life, and pattern formation in biological networks of different nature.