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A Study of Nonlinear Dynamics in Mathematical Biology

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.

Identiferoai:union.ndltd.org:unf.edu/oai:digitalcommons.unf.edu:etd-1439
Date01 January 2013
CreatorsFerrara, Joseph
PublisherUNF Digital Commons
Source SetsUniversity of North Florida
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceUNF Theses and Dissertations

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