College of Arts and Sciences
Master of Science in Mathematical Sciences (MS)
Mathematics & Statistics
NACO controlled Corporate Body
University of North Florida. Department of Mathematics and Statistics
Dr. Mahbubur Rahman
Dr. Adel Boules
Dr. Ognjen Milatovic
Dr. Scott Hochwald
Dr. Barbara A. Hetrick
We first discuss some fundamental results such as equilibria, linearization, and stability of nonlinear dynamical systems arising in mathematical modeling. Next we study the dynamics in planar systems such as limit cycles, the Poincaré-Bendixson theorem, and some of its useful consequences. We then study the interaction between two and three different cell populations, and perform stability and bifurcation analysis on the systems. We also analyze the impact of immunotherapy on the tumor cell population numerically.
Ferrara, Joseph, "A Study of Nonlinear Dynamics in Mathematical Biology" (2013). UNF Graduate Theses and Dissertations. 448.